What is the Least Common Multiple of 54800 and 54804?
Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.
Least common multiple (LCM) of 54800 and 54804 is 750814800.
LCM(54800,54804) = 750814800
Least Common Multiple of 54800 and 54804 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54800 and 54804, than apply into the LCM equation.
GCF(54800,54804) = 4
LCM(54800,54804) = ( 54800 × 54804) / 4
LCM(54800,54804) = 3003259200 / 4
LCM(54800,54804) = 750814800
Least Common Multiple (LCM) of 54800 and 54804 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 54800 and 54804. First we will calculate the prime factors of 54800 and 54804.
Prime Factorization of 54800
Prime factors of 54800 are 2, 5, 137. Prime factorization of 54800 in exponential form is:
54800 = 24 × 52 × 1371
Prime Factorization of 54804
Prime factors of 54804 are 2, 3, 4567. Prime factorization of 54804 in exponential form is:
54804 = 22 × 31 × 45671
Now multiplying the highest exponent prime factors to calculate the LCM of 54800 and 54804.
LCM(54800,54804) = 24 × 52 × 1371 × 31 × 45671
LCM(54800,54804) = 750814800
Related Least Common Multiples of 54800
- LCM of 54800 and 54804
- LCM of 54800 and 54805
- LCM of 54800 and 54806
- LCM of 54800 and 54807
- LCM of 54800 and 54808
- LCM of 54800 and 54809
- LCM of 54800 and 54810
- LCM of 54800 and 54811
- LCM of 54800 and 54812
- LCM of 54800 and 54813
- LCM of 54800 and 54814
- LCM of 54800 and 54815
- LCM of 54800 and 54816
- LCM of 54800 and 54817
- LCM of 54800 and 54818
- LCM of 54800 and 54819
- LCM of 54800 and 54820
Related Least Common Multiples of 54804
- LCM of 54804 and 54808
- LCM of 54804 and 54809
- LCM of 54804 and 54810
- LCM of 54804 and 54811
- LCM of 54804 and 54812
- LCM of 54804 and 54813
- LCM of 54804 and 54814
- LCM of 54804 and 54815
- LCM of 54804 and 54816
- LCM of 54804 and 54817
- LCM of 54804 and 54818
- LCM of 54804 and 54819
- LCM of 54804 and 54820
- LCM of 54804 and 54821
- LCM of 54804 and 54822
- LCM of 54804 and 54823
- LCM of 54804 and 54824