What is the Least Common Multiple of 79720 and 79739?

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 79720 and 79739 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79720 and 79739, than apply into the LCM equation.

GCF(79720,79739) = 1
LCM(79720,79739) = ( 79720 × 79739) / 1
LCM(79720,79739) = 6356793080 / 1
LCM(79720,79739) = 6356793080

Least Common Multiple (LCM) of 79720 and 79739 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79720 and 79739. First we will calculate the prime factors of 79720 and 79739.

Prime Factorization of 79720

Prime Factorization of 79739

Now multiplying the highest exponent prime factors to calculate the LCM of 79720 and 79739.

LCM(79720,79739) = 2³ × 5¹ × 1993¹ × 11² × 659¹
LCM(79720,79739) = 6356793080