What is the Least Common Multiple of 72546 and 72560?

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 72546 and 72560 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72546 and 72560, than apply into the LCM equation.

GCF(72546,72560) = 2
LCM(72546,72560) = ( 72546 × 72560) / 2
LCM(72546,72560) = 5263937760 / 2
LCM(72546,72560) = 2631968880

Least Common Multiple (LCM) of 72546 and 72560 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72546 and 72560. First we will calculate the prime factors of 72546 and 72560.

Prime Factorization of 72546

Prime Factorization of 72560

Now multiplying the highest exponent prime factors to calculate the LCM of 72546 and 72560.

LCM(72546,72560) = 2⁴ × 3¹ × 107¹ × 113¹ × 5¹ × 907¹
LCM(72546,72560) = 2631968880