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What is the Least Common Multiple of 63088 and 63092?

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 63088 and 63092 is 995087024.

LCM(63088,63092) = 995087024

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Least Common Multiple of 63088 and 63092 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63088 and 63092, than apply into the LCM equation.

GCF(63088,63092) = 4
LCM(63088,63092) = ( 63088 × 63092) / 4
LCM(63088,63092) = 3980348096 / 4
LCM(63088,63092) = 995087024

Least Common Multiple (LCM) of 63088 and 63092 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63088 and 63092. First we will calculate the prime factors of 63088 and 63092.

Prime Factorization of 63088

Prime factors of 63088 are 2, 3943. Prime factorization of 63088 in exponential form is:

63088 = 24 × 39431

Prime Factorization of 63092

Prime factors of 63092 are 2, 15773. Prime factorization of 63092 in exponential form is:

63092 = 22 × 157731

Now multiplying the highest exponent prime factors to calculate the LCM of 63088 and 63092.

LCM(63088,63092) = 24 × 39431 × 157731
LCM(63088,63092) = 995087024