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What is the Least Common Multiple of 88649 and 88662?

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 88649 and 88662 is 7859797638.

LCM(88649,88662) = 7859797638

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Least Common Multiple of 88649 and 88662 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88649 and 88662, than apply into the LCM equation.

GCF(88649,88662) = 1
LCM(88649,88662) = ( 88649 × 88662) / 1
LCM(88649,88662) = 7859797638 / 1
LCM(88649,88662) = 7859797638

Least Common Multiple (LCM) of 88649 and 88662 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88649 and 88662. First we will calculate the prime factors of 88649 and 88662.

Prime Factorization of 88649

Prime factors of 88649 are 11, 8059. Prime factorization of 88649 in exponential form is:

88649 = 111 × 80591

Prime Factorization of 88662

Prime factors of 88662 are 2, 3, 7, 2111. Prime factorization of 88662 in exponential form is:

88662 = 21 × 31 × 71 × 21111

Now multiplying the highest exponent prime factors to calculate the LCM of 88649 and 88662.

LCM(88649,88662) = 111 × 80591 × 21 × 31 × 71 × 21111
LCM(88649,88662) = 7859797638