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What is the Least Common Multiple of 37049 and 37060?

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 37049 and 37060 is 1373035940.

LCM(37049,37060) = 1373035940

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Least Common Multiple of 37049 and 37060 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37049 and 37060, than apply into the LCM equation.

GCF(37049,37060) = 1
LCM(37049,37060) = ( 37049 × 37060) / 1
LCM(37049,37060) = 1373035940 / 1
LCM(37049,37060) = 1373035940

Least Common Multiple (LCM) of 37049 and 37060 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37049 and 37060. First we will calculate the prime factors of 37049 and 37060.

Prime Factorization of 37049

Prime factors of 37049 are 37049. Prime factorization of 37049 in exponential form is:

37049 = 370491

Prime Factorization of 37060

Prime factors of 37060 are 2, 5, 17, 109. Prime factorization of 37060 in exponential form is:

37060 = 22 × 51 × 171 × 1091

Now multiplying the highest exponent prime factors to calculate the LCM of 37049 and 37060.

LCM(37049,37060) = 370491 × 22 × 51 × 171 × 1091
LCM(37049,37060) = 1373035940