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What is the Least Common Multiple of 64888 and 64892?

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 64888 and 64892 is 1052678024.

LCM(64888,64892) = 1052678024

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Least Common Multiple of 64888 and 64892 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64888 and 64892, than apply into the LCM equation.

GCF(64888,64892) = 4
LCM(64888,64892) = ( 64888 × 64892) / 4
LCM(64888,64892) = 4210712096 / 4
LCM(64888,64892) = 1052678024

Least Common Multiple (LCM) of 64888 and 64892 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64888 and 64892. First we will calculate the prime factors of 64888 and 64892.

Prime Factorization of 64888

Prime factors of 64888 are 2, 8111. Prime factorization of 64888 in exponential form is:

64888 = 23 × 81111

Prime Factorization of 64892

Prime factors of 64892 are 2, 16223. Prime factorization of 64892 in exponential form is:

64892 = 22 × 162231

Now multiplying the highest exponent prime factors to calculate the LCM of 64888 and 64892.

LCM(64888,64892) = 23 × 81111 × 162231
LCM(64888,64892) = 1052678024