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What is the Least Common Multiple of 37420 and 37424?

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 37424 is 350101520.

LCM(37420,37424) = 350101520

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Least Common Multiple of 37420 and 37424 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 37424, than apply into the LCM equation.

GCF(37420,37424) = 4
LCM(37420,37424) = ( 37420 × 37424) / 4
LCM(37420,37424) = 1400406080 / 4
LCM(37420,37424) = 350101520

Least Common Multiple (LCM) of 37420 and 37424 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37420 and 37424. First we will calculate the prime factors of 37420 and 37424.

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 37424

Prime factors of 37424 are 2, 2339. Prime factorization of 37424 in exponential form is:

37424 = 24 × 23391

Now multiplying the highest exponent prime factors to calculate the LCM of 37420 and 37424.

LCM(37420,37424) = 24 × 51 × 18711 × 23391
LCM(37420,37424) = 350101520