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What is the Least Common Multiple of 87049 and 87068?

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 87049 and 87068 is 7579182332.

LCM(87049,87068) = 7579182332

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Least Common Multiple of 87049 and 87068 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87049 and 87068, than apply into the LCM equation.

GCF(87049,87068) = 1
LCM(87049,87068) = ( 87049 × 87068) / 1
LCM(87049,87068) = 7579182332 / 1
LCM(87049,87068) = 7579182332

Least Common Multiple (LCM) of 87049 and 87068 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87049 and 87068. First we will calculate the prime factors of 87049 and 87068.

Prime Factorization of 87049

Prime factors of 87049 are 87049. Prime factorization of 87049 in exponential form is:

87049 = 870491

Prime Factorization of 87068

Prime factors of 87068 are 2, 21767. Prime factorization of 87068 in exponential form is:

87068 = 22 × 217671

Now multiplying the highest exponent prime factors to calculate the LCM of 87049 and 87068.

LCM(87049,87068) = 870491 × 22 × 217671
LCM(87049,87068) = 7579182332