What is the Least Common Multiple of 63114 and 63120?

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 63114 and 63120 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63114 and 63120, than apply into the LCM equation.

GCF(63114,63120) = 6
LCM(63114,63120) = ( 63114 × 63120) / 6
LCM(63114,63120) = 3983755680 / 6
LCM(63114,63120) = 663959280

Least Common Multiple (LCM) of 63114 and 63120 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63114 and 63120. First we will calculate the prime factors of 63114 and 63120.

Prime Factorization of 63114

Prime Factorization of 63120

Now multiplying the highest exponent prime factors to calculate the LCM of 63114 and 63120.

LCM(63114,63120) = 2⁴ × 3¹ × 67¹ × 157¹ × 5¹ × 263¹
LCM(63114,63120) = 663959280