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What is the Least Common Multiple of 37865 and 37874?

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 37865 and 37874 is 1434099010.

LCM(37865,37874) = 1434099010

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Least Common Multiple of 37865 and 37874 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37865 and 37874, than apply into the LCM equation.

GCF(37865,37874) = 1
LCM(37865,37874) = ( 37865 × 37874) / 1
LCM(37865,37874) = 1434099010 / 1
LCM(37865,37874) = 1434099010

Least Common Multiple (LCM) of 37865 and 37874 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37865 and 37874. First we will calculate the prime factors of 37865 and 37874.

Prime Factorization of 37865

Prime factors of 37865 are 5, 7573. Prime factorization of 37865 in exponential form is:

37865 = 51 × 75731

Prime Factorization of 37874

Prime factors of 37874 are 2, 29, 653. Prime factorization of 37874 in exponential form is:

37874 = 21 × 291 × 6531

Now multiplying the highest exponent prime factors to calculate the LCM of 37865 and 37874.

LCM(37865,37874) = 51 × 75731 × 21 × 291 × 6531
LCM(37865,37874) = 1434099010