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What is the Least Common Multiple of 37362 and 37366?

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 37362 and 37366 is 698034246.

LCM(37362,37366) = 698034246

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Least Common Multiple of 37362 and 37366 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37362 and 37366, than apply into the LCM equation.

GCF(37362,37366) = 2
LCM(37362,37366) = ( 37362 × 37366) / 2
LCM(37362,37366) = 1396068492 / 2
LCM(37362,37366) = 698034246

Least Common Multiple (LCM) of 37362 and 37366 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37362 and 37366. First we will calculate the prime factors of 37362 and 37366.

Prime Factorization of 37362

Prime factors of 37362 are 2, 3, 13, 479. Prime factorization of 37362 in exponential form is:

37362 = 21 × 31 × 131 × 4791

Prime Factorization of 37366

Prime factors of 37366 are 2, 7, 17, 157. Prime factorization of 37366 in exponential form is:

37366 = 21 × 71 × 171 × 1571

Now multiplying the highest exponent prime factors to calculate the LCM of 37362 and 37366.

LCM(37362,37366) = 21 × 31 × 131 × 4791 × 71 × 171 × 1571
LCM(37362,37366) = 698034246