What is the Least Common Multiple of 63177 and 63186?

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 63177 and 63186 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63177 and 63186, than apply into the LCM equation.

GCF(63177,63186) = 3
LCM(63177,63186) = ( 63177 × 63186) / 3
LCM(63177,63186) = 3991901922 / 3
LCM(63177,63186) = 1330633974

Least Common Multiple (LCM) of 63177 and 63186 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63177 and 63186. First we will calculate the prime factors of 63177 and 63186.

Prime Factorization of 63177

Prime Factorization of 63186

Now multiplying the highest exponent prime factors to calculate the LCM of 63177 and 63186.

LCM(63177,63186) = 3¹ × 21059¹ × 2¹ × 10531¹
LCM(63177,63186) = 1330633974