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What is the Least Common Multiple of 88427 and 88432?

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 88427 and 88432 is 7819776464.

LCM(88427,88432) = 7819776464

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Least Common Multiple of 88427 and 88432 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88427 and 88432, than apply into the LCM equation.

GCF(88427,88432) = 1
LCM(88427,88432) = ( 88427 × 88432) / 1
LCM(88427,88432) = 7819776464 / 1
LCM(88427,88432) = 7819776464

Least Common Multiple (LCM) of 88427 and 88432 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88427 and 88432. First we will calculate the prime factors of 88427 and 88432.

Prime Factorization of 88427

Prime factors of 88427 are 88427. Prime factorization of 88427 in exponential form is:

88427 = 884271

Prime Factorization of 88432

Prime factors of 88432 are 2, 5527. Prime factorization of 88432 in exponential form is:

88432 = 24 × 55271

Now multiplying the highest exponent prime factors to calculate the LCM of 88427 and 88432.

LCM(88427,88432) = 884271 × 24 × 55271
LCM(88427,88432) = 7819776464