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What is the Least Common Multiple of 37607 and 37622?

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 37607 and 37622 is 1414850554.

LCM(37607,37622) = 1414850554

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Least Common Multiple of 37607 and 37622 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37607 and 37622, than apply into the LCM equation.

GCF(37607,37622) = 1
LCM(37607,37622) = ( 37607 × 37622) / 1
LCM(37607,37622) = 1414850554 / 1
LCM(37607,37622) = 1414850554

Least Common Multiple (LCM) of 37607 and 37622 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37607 and 37622. First we will calculate the prime factors of 37607 and 37622.

Prime Factorization of 37607

Prime factors of 37607 are 37607. Prime factorization of 37607 in exponential form is:

37607 = 376071

Prime Factorization of 37622

Prime factors of 37622 are 2, 13, 1447. Prime factorization of 37622 in exponential form is:

37622 = 21 × 131 × 14471

Now multiplying the highest exponent prime factors to calculate the LCM of 37607 and 37622.

LCM(37607,37622) = 376071 × 21 × 131 × 14471
LCM(37607,37622) = 1414850554