What is the Least Common Multiple of 60531 and 60549?

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 60549 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 60549, than apply into the LCM equation.

GCF(60531,60549) = 3
LCM(60531,60549) = ( 60531 × 60549) / 3
LCM(60531,60549) = 3665091519 / 3
LCM(60531,60549) = 1221697173

Least Common Multiple (LCM) of 60531 and 60549 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60531 and 60549. First we will calculate the prime factors of 60531 and 60549.

Prime Factorization of 60531

Prime Factorization of 60549

Now multiplying the highest exponent prime factors to calculate the LCM of 60531 and 60549.

LCM(60531,60549) = 3¹ × 20177¹ × 20183¹
LCM(60531,60549) = 1221697173