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What is the Least Common Multiple of 37135 and 37153?

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 37135 and 37153 is 1379676655.

LCM(37135,37153) = 1379676655

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Least Common Multiple of 37135 and 37153 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37135 and 37153, than apply into the LCM equation.

GCF(37135,37153) = 1
LCM(37135,37153) = ( 37135 × 37153) / 1
LCM(37135,37153) = 1379676655 / 1
LCM(37135,37153) = 1379676655

Least Common Multiple (LCM) of 37135 and 37153 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37135 and 37153. First we will calculate the prime factors of 37135 and 37153.

Prime Factorization of 37135

Prime factors of 37135 are 5, 7, 1061. Prime factorization of 37135 in exponential form is:

37135 = 51 × 71 × 10611

Prime Factorization of 37153

Prime factors of 37153 are 53, 701. Prime factorization of 37153 in exponential form is:

37153 = 531 × 7011

Now multiplying the highest exponent prime factors to calculate the LCM of 37135 and 37153.

LCM(37135,37153) = 51 × 71 × 10611 × 531 × 7011
LCM(37135,37153) = 1379676655