What is the Least Common Multiple of 60654 and 60660?

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 60654 and 60660 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60654 and 60660, than apply into the LCM equation.

GCF(60654,60660) = 6
LCM(60654,60660) = ( 60654 × 60660) / 6
LCM(60654,60660) = 3679271640 / 6
LCM(60654,60660) = 613211940

Least Common Multiple (LCM) of 60654 and 60660 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60654 and 60660. First we will calculate the prime factors of 60654 and 60660.

Prime Factorization of 60654

Prime Factorization of 60660

Now multiplying the highest exponent prime factors to calculate the LCM of 60654 and 60660.

LCM(60654,60660) = 2² × 3² × 11¹ × 919¹ × 5¹ × 337¹
LCM(60654,60660) = 613211940