What is the Least Common Multiple of 60561 and 60570?

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 60561 and 60570 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60561 and 60570, than apply into the LCM equation.

GCF(60561,60570) = 9
LCM(60561,60570) = ( 60561 × 60570) / 9
LCM(60561,60570) = 3668179770 / 9
LCM(60561,60570) = 407575530

Least Common Multiple (LCM) of 60561 and 60570 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60561 and 60570. First we will calculate the prime factors of 60561 and 60570.

Prime Factorization of 60561

Prime Factorization of 60570

Now multiplying the highest exponent prime factors to calculate the LCM of 60561 and 60570.

LCM(60561,60570) = 3³ × 2243¹ × 2¹ × 5¹ × 673¹
LCM(60561,60570) = 407575530