What is the Least Common Multiple of 79729 and 79741?

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 79729 and 79741 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79729 and 79741, than apply into the LCM equation.

GCF(79729,79741) = 1
LCM(79729,79741) = ( 79729 × 79741) / 1
LCM(79729,79741) = 6357670189 / 1
LCM(79729,79741) = 6357670189

Least Common Multiple (LCM) of 79729 and 79741 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79729 and 79741. First we will calculate the prime factors of 79729 and 79741.

Prime Factorization of 79729

Prime Factorization of 79741

Now multiplying the highest exponent prime factors to calculate the LCM of 79729 and 79741.

LCM(79729,79741) = 13¹ × 6133¹ × 23¹ × 3467¹
LCM(79729,79741) = 6357670189