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What is the Least Common Multiple of 31252 and 31257?

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 31252 and 31257 is 976843764.

LCM(31252,31257) = 976843764

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Least Common Multiple of 31252 and 31257 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31252 and 31257, than apply into the LCM equation.

GCF(31252,31257) = 1
LCM(31252,31257) = ( 31252 × 31257) / 1
LCM(31252,31257) = 976843764 / 1
LCM(31252,31257) = 976843764

Least Common Multiple (LCM) of 31252 and 31257 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31252 and 31257. First we will calculate the prime factors of 31252 and 31257.

Prime Factorization of 31252

Prime factors of 31252 are 2, 13, 601. Prime factorization of 31252 in exponential form is:

31252 = 22 × 131 × 6011

Prime Factorization of 31257

Prime factors of 31257 are 3, 23, 151. Prime factorization of 31257 in exponential form is:

31257 = 32 × 231 × 1511

Now multiplying the highest exponent prime factors to calculate the LCM of 31252 and 31257.

LCM(31252,31257) = 22 × 131 × 6011 × 32 × 231 × 1511
LCM(31252,31257) = 976843764