What is the Least Common Multiple of 60531 and 60540?

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 60531 and 60540 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60531 and 60540, than apply into the LCM equation.

GCF(60531,60540) = 3
LCM(60531,60540) = ( 60531 × 60540) / 3
LCM(60531,60540) = 3664546740 / 3
LCM(60531,60540) = 1221515580

Least Common Multiple (LCM) of 60531 and 60540 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60531 and 60540. First we will calculate the prime factors of 60531 and 60540.

Prime Factorization of 60531

Prime Factorization of 60540

Now multiplying the highest exponent prime factors to calculate the LCM of 60531 and 60540.

LCM(60531,60540) = 3¹ × 20177¹ × 2² × 5¹ × 1009¹
LCM(60531,60540) = 1221515580