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What is the Least Common Multiple of 79649 and 79662?

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 79649 and 79662 is 6344998638.

LCM(79649,79662) = 6344998638

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Least Common Multiple of 79649 and 79662 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79649 and 79662, than apply into the LCM equation.

GCF(79649,79662) = 1
LCM(79649,79662) = ( 79649 × 79662) / 1
LCM(79649,79662) = 6344998638 / 1
LCM(79649,79662) = 6344998638

Least Common Multiple (LCM) of 79649 and 79662 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79649 and 79662. First we will calculate the prime factors of 79649 and 79662.

Prime Factorization of 79649

Prime factors of 79649 are 23, 3463. Prime factorization of 79649 in exponential form is:

79649 = 231 × 34631

Prime Factorization of 79662

Prime factors of 79662 are 2, 3, 11, 17, 71. Prime factorization of 79662 in exponential form is:

79662 = 21 × 31 × 111 × 171 × 711

Now multiplying the highest exponent prime factors to calculate the LCM of 79649 and 79662.

LCM(79649,79662) = 231 × 34631 × 21 × 31 × 111 × 171 × 711
LCM(79649,79662) = 6344998638