What is the Least Common Multiple of 79947 and 79960?

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 79947 and 79960 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79947 and 79960, than apply into the LCM equation.

GCF(79947,79960) = 1
LCM(79947,79960) = ( 79947 × 79960) / 1
LCM(79947,79960) = 6392562120 / 1
LCM(79947,79960) = 6392562120

Least Common Multiple (LCM) of 79947 and 79960 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79947 and 79960. First we will calculate the prime factors of 79947 and 79960.

Prime Factorization of 79947

Prime Factorization of 79960

Now multiplying the highest exponent prime factors to calculate the LCM of 79947 and 79960.

LCM(79947,79960) = 3⁵ × 7¹ × 47¹ × 2³ × 5¹ × 1999¹
LCM(79947,79960) = 6392562120