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What is the Least Common Multiple of 57236 and 57251?

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 57236 and 57251 is 3276818236.

LCM(57236,57251) = 3276818236

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Least Common Multiple of 57236 and 57251 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57236 and 57251, than apply into the LCM equation.

GCF(57236,57251) = 1
LCM(57236,57251) = ( 57236 × 57251) / 1
LCM(57236,57251) = 3276818236 / 1
LCM(57236,57251) = 3276818236

Least Common Multiple (LCM) of 57236 and 57251 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57236 and 57251. First we will calculate the prime factors of 57236 and 57251.

Prime Factorization of 57236

Prime factors of 57236 are 2, 41, 349. Prime factorization of 57236 in exponential form is:

57236 = 22 × 411 × 3491

Prime Factorization of 57251

Prime factors of 57251 are 57251. Prime factorization of 57251 in exponential form is:

57251 = 572511

Now multiplying the highest exponent prime factors to calculate the LCM of 57236 and 57251.

LCM(57236,57251) = 22 × 411 × 3491 × 572511
LCM(57236,57251) = 3276818236