What is the Least Common Multiple of 54807 and 54813?
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 54807 and 54813 is 1001378697.
LCM(54807,54813) = 1001378697
Least Common Multiple of 54807 and 54813 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54807 and 54813, than apply into the LCM equation.
GCF(54807,54813) = 3
LCM(54807,54813) = ( 54807 × 54813) / 3
LCM(54807,54813) = 3004136091 / 3
LCM(54807,54813) = 1001378697
Least Common Multiple (LCM) of 54807 and 54813 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 54807 and 54813. First we will calculate the prime factors of 54807 and 54813.
Prime Factorization of 54807
Prime factors of 54807 are 3, 18269. Prime factorization of 54807 in exponential form is:
54807 = 31 × 182691
Prime Factorization of 54813
Prime factors of 54813 are 3, 11, 151. Prime factorization of 54813 in exponential form is:
54813 = 31 × 112 × 1511
Now multiplying the highest exponent prime factors to calculate the LCM of 54807 and 54813.
LCM(54807,54813) = 31 × 182691 × 112 × 1511
LCM(54807,54813) = 1001378697
Related Least Common Multiples of 54807
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Related Least Common Multiples of 54813
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- LCM of 54813 and 54819
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