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What is the Least Common Multiple of 79413 and 79426?

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 79413 and 79426 is 6307456938.

LCM(79413,79426) = 6307456938

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Least Common Multiple of 79413 and 79426 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79413 and 79426, than apply into the LCM equation.

GCF(79413,79426) = 1
LCM(79413,79426) = ( 79413 × 79426) / 1
LCM(79413,79426) = 6307456938 / 1
LCM(79413,79426) = 6307456938

Least Common Multiple (LCM) of 79413 and 79426 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79413 and 79426. First we will calculate the prime factors of 79413 and 79426.

Prime Factorization of 79413

Prime factors of 79413 are 3, 103, 257. Prime factorization of 79413 in exponential form is:

79413 = 31 × 1031 × 2571

Prime Factorization of 79426

Prime factors of 79426 are 2, 151, 263. Prime factorization of 79426 in exponential form is:

79426 = 21 × 1511 × 2631

Now multiplying the highest exponent prime factors to calculate the LCM of 79413 and 79426.

LCM(79413,79426) = 31 × 1031 × 2571 × 21 × 1511 × 2631
LCM(79413,79426) = 6307456938