What is the Least Common Multiple of 79505 and 79512?

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 79505 and 79512 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79505 and 79512, than apply into the LCM equation.

GCF(79505,79512) = 1
LCM(79505,79512) = ( 79505 × 79512) / 1
LCM(79505,79512) = 6321601560 / 1
LCM(79505,79512) = 6321601560

Least Common Multiple (LCM) of 79505 and 79512 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79505 and 79512. First we will calculate the prime factors of 79505 and 79512.

Prime Factorization of 79505

Prime Factorization of 79512

Now multiplying the highest exponent prime factors to calculate the LCM of 79505 and 79512.

LCM(79505,79512) = 5¹ × 15901¹ × 2³ × 3¹ × 3313¹
LCM(79505,79512) = 6321601560