What is the Least Common Multiple of 79749 and 79756?

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 79749 and 79756 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79749 and 79756, than apply into the LCM equation.

GCF(79749,79756) = 1
LCM(79749,79756) = ( 79749 × 79756) / 1
LCM(79749,79756) = 6360461244 / 1
LCM(79749,79756) = 6360461244

Least Common Multiple (LCM) of 79749 and 79756 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79749 and 79756. First we will calculate the prime factors of 79749 and 79756.

Prime Factorization of 79749

Prime Factorization of 79756

Now multiplying the highest exponent prime factors to calculate the LCM of 79749 and 79756.

LCM(79749,79756) = 3² × 8861¹ × 2² × 127¹ × 157¹
LCM(79749,79756) = 6360461244