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What is the Least Common Multiple of 37090 and 37110?

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 37090 and 37110 is 137640990.

LCM(37090,37110) = 137640990

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Least Common Multiple of 37090 and 37110 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37090 and 37110, than apply into the LCM equation.

GCF(37090,37110) = 10
LCM(37090,37110) = ( 37090 × 37110) / 10
LCM(37090,37110) = 1376409900 / 10
LCM(37090,37110) = 137640990

Least Common Multiple (LCM) of 37090 and 37110 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37090 and 37110. First we will calculate the prime factors of 37090 and 37110.

Prime Factorization of 37090

Prime factors of 37090 are 2, 5, 3709. Prime factorization of 37090 in exponential form is:

37090 = 21 × 51 × 37091

Prime Factorization of 37110

Prime factors of 37110 are 2, 3, 5, 1237. Prime factorization of 37110 in exponential form is:

37110 = 21 × 31 × 51 × 12371

Now multiplying the highest exponent prime factors to calculate the LCM of 37090 and 37110.

LCM(37090,37110) = 21 × 51 × 37091 × 31 × 12371
LCM(37090,37110) = 137640990