What is the Least Common Multiple of 54852 and 54858?
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 54852 and 54858 is 501511836.
LCM(54852,54858) = 501511836
Least Common Multiple of 54852 and 54858 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54852 and 54858, than apply into the LCM equation.
GCF(54852,54858) = 6
LCM(54852,54858) = ( 54852 × 54858) / 6
LCM(54852,54858) = 3009071016 / 6
LCM(54852,54858) = 501511836
Least Common Multiple (LCM) of 54852 and 54858 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 54852 and 54858. First we will calculate the prime factors of 54852 and 54858.
Prime Factorization of 54852
Prime factors of 54852 are 2, 3, 7, 653. Prime factorization of 54852 in exponential form is:
54852 = 22 × 31 × 71 × 6531
Prime Factorization of 54858
Prime factors of 54858 are 2, 3, 41, 223. Prime factorization of 54858 in exponential form is:
54858 = 21 × 31 × 411 × 2231
Now multiplying the highest exponent prime factors to calculate the LCM of 54852 and 54858.
LCM(54852,54858) = 22 × 31 × 71 × 6531 × 411 × 2231
LCM(54852,54858) = 501511836
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