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What is the Least Common Multiple of 37652 and 37666?

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 37652 and 37666 is 709100116.

LCM(37652,37666) = 709100116

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Least Common Multiple of 37652 and 37666 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37652 and 37666, than apply into the LCM equation.

GCF(37652,37666) = 2
LCM(37652,37666) = ( 37652 × 37666) / 2
LCM(37652,37666) = 1418200232 / 2
LCM(37652,37666) = 709100116

Least Common Multiple (LCM) of 37652 and 37666 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37652 and 37666. First we will calculate the prime factors of 37652 and 37666.

Prime Factorization of 37652

Prime factors of 37652 are 2, 9413. Prime factorization of 37652 in exponential form is:

37652 = 22 × 94131

Prime Factorization of 37666

Prime factors of 37666 are 2, 37, 509. Prime factorization of 37666 in exponential form is:

37666 = 21 × 371 × 5091

Now multiplying the highest exponent prime factors to calculate the LCM of 37652 and 37666.

LCM(37652,37666) = 22 × 94131 × 371 × 5091
LCM(37652,37666) = 709100116