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What is the Least Common Multiple of 88532 and 88541?

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 88532 and 88541 is 7838711812.

LCM(88532,88541) = 7838711812

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Least Common Multiple of 88532 and 88541 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88532 and 88541, than apply into the LCM equation.

GCF(88532,88541) = 1
LCM(88532,88541) = ( 88532 × 88541) / 1
LCM(88532,88541) = 7838711812 / 1
LCM(88532,88541) = 7838711812

Least Common Multiple (LCM) of 88532 and 88541 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88532 and 88541. First we will calculate the prime factors of 88532 and 88541.

Prime Factorization of 88532

Prime factors of 88532 are 2, 22133. Prime factorization of 88532 in exponential form is:

88532 = 22 × 221331

Prime Factorization of 88541

Prime factors of 88541 are 37, 2393. Prime factorization of 88541 in exponential form is:

88541 = 371 × 23931

Now multiplying the highest exponent prime factors to calculate the LCM of 88532 and 88541.

LCM(88532,88541) = 22 × 221331 × 371 × 23931
LCM(88532,88541) = 7838711812