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What is the Least Common Multiple of 31252 and 31272?

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 31272 is 244328136.

LCM(31252,31272) = 244328136

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Least Common Multiple of 31252 and 31272 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 31272, than apply into the LCM equation.

GCF(31252,31272) = 4
LCM(31252,31272) = ( 31252 × 31272) / 4
LCM(31252,31272) = 977312544 / 4
LCM(31252,31272) = 244328136

Least Common Multiple (LCM) of 31252 and 31272 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31252 and 31272. First we will calculate the prime factors of 31252 and 31272.

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 31272

Prime factors of 31272 are 2, 3, 1303. Prime factorization of 31272 in exponential form is:

31272 = 23 × 31 × 13031

Now multiplying the highest exponent prime factors to calculate the LCM of 31252 and 31272.

LCM(31252,31272) = 23 × 131 × 6011 × 31 × 13031
LCM(31252,31272) = 244328136