What is the Least Common Multiple of 79713 and 79723?

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 79713 and 79723 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79713 and 79723, than apply into the LCM equation.

GCF(79713,79723) = 1
LCM(79713,79723) = ( 79713 × 79723) / 1
LCM(79713,79723) = 6354959499 / 1
LCM(79713,79723) = 6354959499

Least Common Multiple (LCM) of 79713 and 79723 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79713 and 79723. First we will calculate the prime factors of 79713 and 79723.

Prime Factorization of 79713

Prime Factorization of 79723

Now multiplying the highest exponent prime factors to calculate the LCM of 79713 and 79723.

LCM(79713,79723) = 3² × 17¹ × 521¹ × 7² × 1627¹
LCM(79713,79723) = 6354959499