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What is the Least Common Multiple of 79422 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 79422 and 79426 is 3154085886.

LCM(79422,79426) = 3154085886

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Least Common Multiple of 79422 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 79422 and 79426, than apply into the LCM equation.

GCF(79422,79426) = 2
LCM(79422,79426) = ( 79422 × 79426) / 2
LCM(79422,79426) = 6308171772 / 2
LCM(79422,79426) = 3154085886

Least Common Multiple (LCM) of 79422 and 79426 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79422 and 79426. First we will calculate the prime factors of 79422 and 79426.

Prime Factorization of 79422

Prime factors of 79422 are 2, 3, 7, 31, 61. Prime factorization of 79422 in exponential form is:

79422 = 21 × 31 × 71 × 311 × 611

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 79422 and 79426.

LCM(79422,79426) = 21 × 31 × 71 × 311 × 611 × 1511 × 2631
LCM(79422,79426) = 3154085886