What is the Least Common Multiple of 54804 and 54815?
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 54804 and 54815 is 3004081260.
LCM(54804,54815) = 3004081260
Least Common Multiple of 54804 and 54815 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54804 and 54815, than apply into the LCM equation.
GCF(54804,54815) = 1
LCM(54804,54815) = ( 54804 × 54815) / 1
LCM(54804,54815) = 3004081260 / 1
LCM(54804,54815) = 3004081260
Least Common Multiple (LCM) of 54804 and 54815 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 54804 and 54815. First we will calculate the prime factors of 54804 and 54815.
Prime Factorization of 54804
Prime factors of 54804 are 2, 3, 4567. Prime factorization of 54804 in exponential form is:
54804 = 22 × 31 × 45671
Prime Factorization of 54815
Prime factors of 54815 are 5, 19, 577. Prime factorization of 54815 in exponential form is:
54815 = 51 × 191 × 5771
Now multiplying the highest exponent prime factors to calculate the LCM of 54804 and 54815.
LCM(54804,54815) = 22 × 31 × 45671 × 51 × 191 × 5771
LCM(54804,54815) = 3004081260
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