What is the Least Common Multiple of 79956 and 79965?

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 79956 and 79965 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79956 and 79965, than apply into the LCM equation.

GCF(79956,79965) = 9
LCM(79956,79965) = ( 79956 × 79965) / 9
LCM(79956,79965) = 6393681540 / 9
LCM(79956,79965) = 710409060

Least Common Multiple (LCM) of 79956 and 79965 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79956 and 79965. First we will calculate the prime factors of 79956 and 79965.

Prime Factorization of 79956

Prime Factorization of 79965

Now multiplying the highest exponent prime factors to calculate the LCM of 79956 and 79965.

LCM(79956,79965) = 2² × 3² × 2221¹ × 5¹ × 1777¹
LCM(79956,79965) = 710409060