What is the Least Common Multiple of 63132 and 63141?

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 63132 and 63141 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63132 and 63141, than apply into the LCM equation.

GCF(63132,63141) = 3
LCM(63132,63141) = ( 63132 × 63141) / 3
LCM(63132,63141) = 3986217612 / 3
LCM(63132,63141) = 1328739204

Least Common Multiple (LCM) of 63132 and 63141 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63132 and 63141. First we will calculate the prime factors of 63132 and 63141.

Prime Factorization of 63132

Prime Factorization of 63141

Now multiplying the highest exponent prime factors to calculate the LCM of 63132 and 63141.

LCM(63132,63141) = 2² × 3¹ × 5261¹ × 13¹ × 1619¹
LCM(63132,63141) = 1328739204