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What is the Least Common Multiple of 37852 and 37862?

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 37852 and 37862 is 716576212.

LCM(37852,37862) = 716576212

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Least Common Multiple of 37852 and 37862 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37852 and 37862, than apply into the LCM equation.

GCF(37852,37862) = 2
LCM(37852,37862) = ( 37852 × 37862) / 2
LCM(37852,37862) = 1433152424 / 2
LCM(37852,37862) = 716576212

Least Common Multiple (LCM) of 37852 and 37862 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37852 and 37862. First we will calculate the prime factors of 37852 and 37862.

Prime Factorization of 37852

Prime factors of 37852 are 2, 9463. Prime factorization of 37852 in exponential form is:

37852 = 22 × 94631

Prime Factorization of 37862

Prime factors of 37862 are 2, 11, 1721. Prime factorization of 37862 in exponential form is:

37862 = 21 × 111 × 17211

Now multiplying the highest exponent prime factors to calculate the LCM of 37852 and 37862.

LCM(37852,37862) = 22 × 94631 × 111 × 17211
LCM(37852,37862) = 716576212