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What is the Least Common Multiple of 54252 and 54257?

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 54252 and 54257 is 2943550764.

LCM(54252,54257) = 2943550764

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Least Common Multiple of 54252 and 54257 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54252 and 54257, than apply into the LCM equation.

GCF(54252,54257) = 1
LCM(54252,54257) = ( 54252 × 54257) / 1
LCM(54252,54257) = 2943550764 / 1
LCM(54252,54257) = 2943550764

Least Common Multiple (LCM) of 54252 and 54257 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54252 and 54257. First we will calculate the prime factors of 54252 and 54257.

Prime Factorization of 54252

Prime factors of 54252 are 2, 3, 11, 137. Prime factorization of 54252 in exponential form is:

54252 = 22 × 32 × 111 × 1371

Prime Factorization of 54257

Prime factors of 54257 are 7, 23, 337. Prime factorization of 54257 in exponential form is:

54257 = 71 × 231 × 3371

Now multiplying the highest exponent prime factors to calculate the LCM of 54252 and 54257.

LCM(54252,54257) = 22 × 32 × 111 × 1371 × 71 × 231 × 3371
LCM(54252,54257) = 2943550764