What is the Least Common Multiple of 79431 and 79442?

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 of 79431 and 79442 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79431 and 79442, than apply into the LCM equation.

GCF(79431,79442) = 11
LCM(79431,79442) = ( 79431 × 79442) / 11
LCM(79431,79442) = 6310157502 / 11
LCM(79431,79442) = 573650682

Least Common Multiple (LCM) of 79431 and 79442 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79431 and 79442. First we will calculate the prime factors of 79431 and 79442.

Prime Factorization of 79431

Prime Factorization of 79442

Now multiplying the highest exponent prime factors to calculate the LCM of 79431 and 79442.

LCM(79431,79442) = 3¹ × 11¹ × 29¹ × 83¹ × 2¹ × 23¹ × 157¹
LCM(79431,79442) = 573650682