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What is the Least Common Multiple of 37420 and 37436?

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 37420 and 37436 is 350213780.

LCM(37420,37436) = 350213780

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Least Common Multiple of 37420 and 37436 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37420 and 37436, than apply into the LCM equation.

GCF(37420,37436) = 4
LCM(37420,37436) = ( 37420 × 37436) / 4
LCM(37420,37436) = 1400855120 / 4
LCM(37420,37436) = 350213780

Least Common Multiple (LCM) of 37420 and 37436 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37420 and 37436. First we will calculate the prime factors of 37420 and 37436.

Prime Factorization of 37420

Prime factors of 37420 are 2, 5, 1871. Prime factorization of 37420 in exponential form is:

37420 = 22 × 51 × 18711

Prime Factorization of 37436

Prime factors of 37436 are 2, 7, 191. Prime factorization of 37436 in exponential form is:

37436 = 22 × 72 × 1911

Now multiplying the highest exponent prime factors to calculate the LCM of 37420 and 37436.

LCM(37420,37436) = 22 × 51 × 18711 × 72 × 1911
LCM(37420,37436) = 350213780