What is the Least Common Multiple of 96460 and 96479?

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 96460 and 96479 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96460 and 96479, than apply into the LCM equation.

GCF(96460,96479) = 1
LCM(96460,96479) = ( 96460 × 96479) / 1
LCM(96460,96479) = 9306364340 / 1
LCM(96460,96479) = 9306364340

Least Common Multiple (LCM) of 96460 and 96479 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96460 and 96479. First we will calculate the prime factors of 96460 and 96479.

Prime Factorization of 96460

Prime Factorization of 96479

Now multiplying the highest exponent prime factors to calculate the LCM of 96460 and 96479.

LCM(96460,96479) = 2² × 5¹ × 7¹ × 13¹ × 53¹ × 96479¹
LCM(96460,96479) = 9306364340