What is the Least Common Multiple of 79689 and 79709?

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 79689 and 79709 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79689 and 79709, than apply into the LCM equation.

GCF(79689,79709) = 1
LCM(79689,79709) = ( 79689 × 79709) / 1
LCM(79689,79709) = 6351930501 / 1
LCM(79689,79709) = 6351930501

Least Common Multiple (LCM) of 79689 and 79709 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79689 and 79709. First we will calculate the prime factors of 79689 and 79709.

Prime Factorization of 79689

Prime Factorization of 79709

Now multiplying the highest exponent prime factors to calculate the LCM of 79689 and 79709.

LCM(79689,79709) = 3¹ × 101¹ × 263¹ × 7¹ × 59¹ × 193¹
LCM(79689,79709) = 6351930501