What is the Least Common Multiple of 72460 and 72478?

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 72460 and 72478 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72460 and 72478, than apply into the LCM equation.

GCF(72460,72478) = 2
LCM(72460,72478) = ( 72460 × 72478) / 2
LCM(72460,72478) = 5251755880 / 2
LCM(72460,72478) = 2625877940

Least Common Multiple (LCM) of 72460 and 72478 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72460 and 72478. First we will calculate the prime factors of 72460 and 72478.

Prime Factorization of 72460

Prime Factorization of 72478

Now multiplying the highest exponent prime factors to calculate the LCM of 72460 and 72478.

LCM(72460,72478) = 2² × 5¹ × 3623¹ × 7¹ × 31¹ × 167¹
LCM(72460,72478) = 2625877940