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What is the Least Common Multiple of 87038 and 87051?

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 87038 and 87051 is 7576744938.

LCM(87038,87051) = 7576744938

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Least Common Multiple of 87038 and 87051 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87038 and 87051, than apply into the LCM equation.

GCF(87038,87051) = 1
LCM(87038,87051) = ( 87038 × 87051) / 1
LCM(87038,87051) = 7576744938 / 1
LCM(87038,87051) = 7576744938

Least Common Multiple (LCM) of 87038 and 87051 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87038 and 87051. First we will calculate the prime factors of 87038 and 87051.

Prime Factorization of 87038

Prime factors of 87038 are 2, 7, 6217. Prime factorization of 87038 in exponential form is:

87038 = 21 × 71 × 62171

Prime Factorization of 87051

Prime factors of 87051 are 3, 29017. Prime factorization of 87051 in exponential form is:

87051 = 31 × 290171

Now multiplying the highest exponent prime factors to calculate the LCM of 87038 and 87051.

LCM(87038,87051) = 21 × 71 × 62171 × 31 × 290171
LCM(87038,87051) = 7576744938