What is the Least Common Multiple of 79620 and 79635?

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 79620 and 79635 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79620 and 79635, than apply into the LCM equation.

GCF(79620,79635) = 15
LCM(79620,79635) = ( 79620 × 79635) / 15
LCM(79620,79635) = 6340538700 / 15
LCM(79620,79635) = 422702580

Least Common Multiple (LCM) of 79620 and 79635 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79620 and 79635. First we will calculate the prime factors of 79620 and 79635.

Prime Factorization of 79620

Prime Factorization of 79635

Now multiplying the highest exponent prime factors to calculate the LCM of 79620 and 79635.

LCM(79620,79635) = 2² × 3¹ × 5¹ × 1327¹ × 5309¹
LCM(79620,79635) = 422702580