What is the Least Common Multiple of 79633 and 79643?

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 79633 and 79643 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79633 and 79643, than apply into the LCM equation.

GCF(79633,79643) = 1
LCM(79633,79643) = ( 79633 × 79643) / 1
LCM(79633,79643) = 6342211019 / 1
LCM(79633,79643) = 6342211019

Least Common Multiple (LCM) of 79633 and 79643 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79633 and 79643. First we will calculate the prime factors of 79633 and 79643.

Prime Factorization of 79633

Prime Factorization of 79643

Now multiplying the highest exponent prime factors to calculate the LCM of 79633 and 79643.

LCM(79633,79643) = 79633¹ × 73¹ × 1091¹
LCM(79633,79643) = 6342211019