What is the Least Common Multiple of 72540 and 72545?

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 72540 and 72545 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72540 and 72545, than apply into the LCM equation.

GCF(72540,72545) = 5
LCM(72540,72545) = ( 72540 × 72545) / 5
LCM(72540,72545) = 5262414300 / 5
LCM(72540,72545) = 1052482860

Least Common Multiple (LCM) of 72540 and 72545 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72540 and 72545. First we will calculate the prime factors of 72540 and 72545.

Prime Factorization of 72540

Prime Factorization of 72545

Now multiplying the highest exponent prime factors to calculate the LCM of 72540 and 72545.

LCM(72540,72545) = 2² × 3² × 5¹ × 13¹ × 31¹ × 11¹ × 1319¹
LCM(72540,72545) = 1052482860