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What is the Least Common Multiple of 37418 and 37426?

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 37418 and 37426 is 700203034.

LCM(37418,37426) = 700203034

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Least Common Multiple of 37418 and 37426 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37418 and 37426, than apply into the LCM equation.

GCF(37418,37426) = 2
LCM(37418,37426) = ( 37418 × 37426) / 2
LCM(37418,37426) = 1400406068 / 2
LCM(37418,37426) = 700203034

Least Common Multiple (LCM) of 37418 and 37426 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37418 and 37426. First we will calculate the prime factors of 37418 and 37426.

Prime Factorization of 37418

Prime factors of 37418 are 2, 53, 353. Prime factorization of 37418 in exponential form is:

37418 = 21 × 531 × 3531

Prime Factorization of 37426

Prime factors of 37426 are 2, 18713. Prime factorization of 37426 in exponential form is:

37426 = 21 × 187131

Now multiplying the highest exponent prime factors to calculate the LCM of 37418 and 37426.

LCM(37418,37426) = 21 × 531 × 3531 × 187131
LCM(37418,37426) = 700203034