What is the Least Common Multiple of 63156 and 63167?

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 63156 and 63167 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63156 and 63167, than apply into the LCM equation.

GCF(63156,63167) = 1
LCM(63156,63167) = ( 63156 × 63167) / 1
LCM(63156,63167) = 3989375052 / 1
LCM(63156,63167) = 3989375052

Least Common Multiple (LCM) of 63156 and 63167 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63156 and 63167. First we will calculate the prime factors of 63156 and 63167.

Prime Factorization of 63156

Prime Factorization of 63167

Now multiplying the highest exponent prime factors to calculate the LCM of 63156 and 63167.

LCM(63156,63167) = 2² × 3¹ × 19¹ × 277¹ × 13¹ × 43¹ × 113¹
LCM(63156,63167) = 3989375052