What is the Least Common Multiple of 63066 and 63076?

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 63066 and 63076 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63066 and 63076, than apply into the LCM equation.

GCF(63066,63076) = 2
LCM(63066,63076) = ( 63066 × 63076) / 2
LCM(63066,63076) = 3977951016 / 2
LCM(63066,63076) = 1988975508

Least Common Multiple (LCM) of 63066 and 63076 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63066 and 63076. First we will calculate the prime factors of 63066 and 63076.

Prime Factorization of 63066

Prime Factorization of 63076

Now multiplying the highest exponent prime factors to calculate the LCM of 63066 and 63076.

LCM(63066,63076) = 2² × 3¹ × 23¹ × 457¹ × 13¹ × 1213¹
LCM(63066,63076) = 1988975508