What is the Least Common Multiple of 63120 and 63140?

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 63120 and 63140 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63120 and 63140, than apply into the LCM equation.

GCF(63120,63140) = 20
LCM(63120,63140) = ( 63120 × 63140) / 20
LCM(63120,63140) = 3985396800 / 20
LCM(63120,63140) = 199269840

Least Common Multiple (LCM) of 63120 and 63140 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63120 and 63140. First we will calculate the prime factors of 63120 and 63140.

Prime Factorization of 63120

Prime Factorization of 63140

Now multiplying the highest exponent prime factors to calculate the LCM of 63120 and 63140.

LCM(63120,63140) = 2⁴ × 3¹ × 5¹ × 263¹ × 7¹ × 11¹ × 41¹
LCM(63120,63140) = 199269840