What is the Least Common Multiple of 60648 and 60654?

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 60648 and 60654 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60648 and 60654, than apply into the LCM equation.

GCF(60648,60654) = 6
LCM(60648,60654) = ( 60648 × 60654) / 6
LCM(60648,60654) = 3678543792 / 6
LCM(60648,60654) = 613090632

Least Common Multiple (LCM) of 60648 and 60654 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60648 and 60654. First we will calculate the prime factors of 60648 and 60654.

Prime Factorization of 60648

Prime Factorization of 60654

Now multiplying the highest exponent prime factors to calculate the LCM of 60648 and 60654.

LCM(60648,60654) = 2³ × 3¹ × 7¹ × 19² × 11¹ × 919¹
LCM(60648,60654) = 613090632