What is the Least Common Multiple of 63096 and 63102?

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 63096 and 63102 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63096 and 63102, than apply into the LCM equation.

GCF(63096,63102) = 6
LCM(63096,63102) = ( 63096 × 63102) / 6
LCM(63096,63102) = 3981483792 / 6
LCM(63096,63102) = 663580632

Least Common Multiple (LCM) of 63096 and 63102 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63096 and 63102. First we will calculate the prime factors of 63096 and 63102.

Prime Factorization of 63096

Prime Factorization of 63102

Now multiplying the highest exponent prime factors to calculate the LCM of 63096 and 63102.

LCM(63096,63102) = 2³ × 3¹ × 11¹ × 239¹ × 13¹ × 809¹
LCM(63096,63102) = 663580632