What is the Least Common Multiple of 79709 and 79726?

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 79709 and 79726 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79709 and 79726, than apply into the LCM equation.

GCF(79709,79726) = 1
LCM(79709,79726) = ( 79709 × 79726) / 1
LCM(79709,79726) = 6354879734 / 1
LCM(79709,79726) = 6354879734

Least Common Multiple (LCM) of 79709 and 79726 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79709 and 79726. First we will calculate the prime factors of 79709 and 79726.

Prime Factorization of 79709

Prime Factorization of 79726

Now multiplying the highest exponent prime factors to calculate the LCM of 79709 and 79726.

LCM(79709,79726) = 7¹ × 59¹ × 193¹ × 2¹ × 39863¹
LCM(79709,79726) = 6354879734