What is the Least Common Multiple of 52540 and 52545?

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 52540 and 52545 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52540 and 52545, than apply into the LCM equation.

GCF(52540,52545) = 5
LCM(52540,52545) = ( 52540 × 52545) / 5
LCM(52540,52545) = 2760714300 / 5
LCM(52540,52545) = 552142860

Least Common Multiple (LCM) of 52540 and 52545 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52540 and 52545. First we will calculate the prime factors of 52540 and 52545.

Prime Factorization of 52540

Prime Factorization of 52545

Now multiplying the highest exponent prime factors to calculate the LCM of 52540 and 52545.

LCM(52540,52545) = 2² × 5¹ × 37¹ × 71¹ × 3¹ × 31¹ × 113¹
LCM(52540,52545) = 552142860