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What is the Least Common Multiple of 37790 and 37807?

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 37790 and 37807 is 1428726530.

LCM(37790,37807) = 1428726530

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Least Common Multiple of 37790 and 37807 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37790 and 37807, than apply into the LCM equation.

GCF(37790,37807) = 1
LCM(37790,37807) = ( 37790 × 37807) / 1
LCM(37790,37807) = 1428726530 / 1
LCM(37790,37807) = 1428726530

Least Common Multiple (LCM) of 37790 and 37807 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37790 and 37807. First we will calculate the prime factors of 37790 and 37807.

Prime Factorization of 37790

Prime factors of 37790 are 2, 5, 3779. Prime factorization of 37790 in exponential form is:

37790 = 21 × 51 × 37791

Prime Factorization of 37807

Prime factors of 37807 are 7, 11, 491. Prime factorization of 37807 in exponential form is:

37807 = 71 × 111 × 4911

Now multiplying the highest exponent prime factors to calculate the LCM of 37790 and 37807.

LCM(37790,37807) = 21 × 51 × 37791 × 71 × 111 × 4911
LCM(37790,37807) = 1428726530