What is the Least Common Multiple of 79640 and 79645?

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 79640 and 79645 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79640 and 79645, than apply into the LCM equation.

GCF(79640,79645) = 5
LCM(79640,79645) = ( 79640 × 79645) / 5
LCM(79640,79645) = 6342927800 / 5
LCM(79640,79645) = 1268585560

Least Common Multiple (LCM) of 79640 and 79645 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79640 and 79645. First we will calculate the prime factors of 79640 and 79645.

Prime Factorization of 79640

Prime Factorization of 79645

Now multiplying the highest exponent prime factors to calculate the LCM of 79640 and 79645.

LCM(79640,79645) = 2³ × 5¹ × 11¹ × 181¹ × 17¹ × 937¹
LCM(79640,79645) = 1268585560