What is the Least Common Multiple of 63054 and 63060?

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 63054 and 63060 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63054 and 63060, than apply into the LCM equation.

GCF(63054,63060) = 6
LCM(63054,63060) = ( 63054 × 63060) / 6
LCM(63054,63060) = 3976185240 / 6
LCM(63054,63060) = 662697540

Least Common Multiple (LCM) of 63054 and 63060 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63054 and 63060. First we will calculate the prime factors of 63054 and 63060.

Prime Factorization of 63054

Prime Factorization of 63060

Now multiplying the highest exponent prime factors to calculate the LCM of 63054 and 63060.

LCM(63054,63060) = 2² × 3² × 31¹ × 113¹ × 5¹ × 1051¹
LCM(63054,63060) = 662697540