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What is the Least Common Multiple of 37143 and 37160?

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 37143 and 37160 is 1380233880.

LCM(37143,37160) = 1380233880

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Least Common Multiple of 37143 and 37160 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37143 and 37160, than apply into the LCM equation.

GCF(37143,37160) = 1
LCM(37143,37160) = ( 37143 × 37160) / 1
LCM(37143,37160) = 1380233880 / 1
LCM(37143,37160) = 1380233880

Least Common Multiple (LCM) of 37143 and 37160 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37143 and 37160. First we will calculate the prime factors of 37143 and 37160.

Prime Factorization of 37143

Prime factors of 37143 are 3, 4127. Prime factorization of 37143 in exponential form is:

37143 = 32 × 41271

Prime Factorization of 37160

Prime factors of 37160 are 2, 5, 929. Prime factorization of 37160 in exponential form is:

37160 = 23 × 51 × 9291

Now multiplying the highest exponent prime factors to calculate the LCM of 37143 and 37160.

LCM(37143,37160) = 32 × 41271 × 23 × 51 × 9291
LCM(37143,37160) = 1380233880