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What is the Least Common Multiple of 88637 and 88644?

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 88637 and 88644 is 7857138228.

LCM(88637,88644) = 7857138228

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Least Common Multiple of 88637 and 88644 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88637 and 88644, than apply into the LCM equation.

GCF(88637,88644) = 1
LCM(88637,88644) = ( 88637 × 88644) / 1
LCM(88637,88644) = 7857138228 / 1
LCM(88637,88644) = 7857138228

Least Common Multiple (LCM) of 88637 and 88644 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88637 and 88644. First we will calculate the prime factors of 88637 and 88644.

Prime Factorization of 88637

Prime factors of 88637 are 151, 587. Prime factorization of 88637 in exponential form is:

88637 = 1511 × 5871

Prime Factorization of 88644

Prime factors of 88644 are 2, 3, 83, 89. Prime factorization of 88644 in exponential form is:

88644 = 22 × 31 × 831 × 891

Now multiplying the highest exponent prime factors to calculate the LCM of 88637 and 88644.

LCM(88637,88644) = 1511 × 5871 × 22 × 31 × 831 × 891
LCM(88637,88644) = 7857138228