What is the Least Common Multiple of 60550 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 60550 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 60550 and 60570, than apply into the LCM equation.

GCF(60550,60570) = 10
LCM(60550,60570) = ( 60550 × 60570) / 10
LCM(60550,60570) = 3667513500 / 10
LCM(60550,60570) = 366751350

Least Common Multiple (LCM) of 60550 and 60570 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60550 and 60570. First we will calculate the prime factors of 60550 and 60570.

Prime Factorization of 60550

Prime Factorization of 60570

Now multiplying the highest exponent prime factors to calculate the LCM of 60550 and 60570.

LCM(60550,60570) = 2¹ × 5² × 7¹ × 173¹ × 3² × 673¹
LCM(60550,60570) = 366751350