What is the Least Common Multiple of 63048 and 63066?

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 63048 and 63066 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63048 and 63066, than apply into the LCM equation.

GCF(63048,63066) = 6
LCM(63048,63066) = ( 63048 × 63066) / 6
LCM(63048,63066) = 3976185168 / 6
LCM(63048,63066) = 662697528

Least Common Multiple (LCM) of 63048 and 63066 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63048 and 63066. First we will calculate the prime factors of 63048 and 63066.

Prime Factorization of 63048

Prime Factorization of 63066

Now multiplying the highest exponent prime factors to calculate the LCM of 63048 and 63066.

LCM(63048,63066) = 2³ × 3¹ × 37¹ × 71¹ × 23¹ × 457¹
LCM(63048,63066) = 662697528