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What is the Least Common Multiple of 79718 and 79722?

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 79718 and 79722 is 3177639198.

LCM(79718,79722) = 3177639198

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Least Common Multiple of 79718 and 79722 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79718 and 79722, than apply into the LCM equation.

GCF(79718,79722) = 2
LCM(79718,79722) = ( 79718 × 79722) / 2
LCM(79718,79722) = 6355278396 / 2
LCM(79718,79722) = 3177639198

Least Common Multiple (LCM) of 79718 and 79722 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79718 and 79722. First we will calculate the prime factors of 79718 and 79722.

Prime Factorization of 79718

Prime factors of 79718 are 2, 23, 1733. Prime factorization of 79718 in exponential form is:

79718 = 21 × 231 × 17331

Prime Factorization of 79722

Prime factors of 79722 are 2, 3, 43, 103. Prime factorization of 79722 in exponential form is:

79722 = 21 × 32 × 431 × 1031

Now multiplying the highest exponent prime factors to calculate the LCM of 79718 and 79722.

LCM(79718,79722) = 21 × 231 × 17331 × 32 × 431 × 1031
LCM(79718,79722) = 3177639198