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What is the Least Common Multiple of 36607 and 36622?

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 36607 and 36622 is 1340621554.

LCM(36607,36622) = 1340621554

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Least Common Multiple of 36607 and 36622 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36607 and 36622, than apply into the LCM equation.

GCF(36607,36622) = 1
LCM(36607,36622) = ( 36607 × 36622) / 1
LCM(36607,36622) = 1340621554 / 1
LCM(36607,36622) = 1340621554

Least Common Multiple (LCM) of 36607 and 36622 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36607 and 36622. First we will calculate the prime factors of 36607 and 36622.

Prime Factorization of 36607

Prime factors of 36607 are 36607. Prime factorization of 36607 in exponential form is:

36607 = 366071

Prime Factorization of 36622

Prime factors of 36622 are 2, 18311. Prime factorization of 36622 in exponential form is:

36622 = 21 × 183111

Now multiplying the highest exponent prime factors to calculate the LCM of 36607 and 36622.

LCM(36607,36622) = 366071 × 21 × 183111
LCM(36607,36622) = 1340621554