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What is the Least Common Multiple of 37256 and 37269?

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 37256 and 37269 is 1388493864.

LCM(37256,37269) = 1388493864

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Least Common Multiple of 37256 and 37269 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37256 and 37269, than apply into the LCM equation.

GCF(37256,37269) = 1
LCM(37256,37269) = ( 37256 × 37269) / 1
LCM(37256,37269) = 1388493864 / 1
LCM(37256,37269) = 1388493864

Least Common Multiple (LCM) of 37256 and 37269 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37256 and 37269. First we will calculate the prime factors of 37256 and 37269.

Prime Factorization of 37256

Prime factors of 37256 are 2, 4657. Prime factorization of 37256 in exponential form is:

37256 = 23 × 46571

Prime Factorization of 37269

Prime factors of 37269 are 3, 41, 101. Prime factorization of 37269 in exponential form is:

37269 = 32 × 411 × 1011

Now multiplying the highest exponent prime factors to calculate the LCM of 37256 and 37269.

LCM(37256,37269) = 23 × 46571 × 32 × 411 × 1011
LCM(37256,37269) = 1388493864