What is the Least Common Multiple of 63920 and 63940?

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 63920 and 63940 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63920 and 63940, than apply into the LCM equation.

GCF(63920,63940) = 20
LCM(63920,63940) = ( 63920 × 63940) / 20
LCM(63920,63940) = 4087044800 / 20
LCM(63920,63940) = 204352240

Least Common Multiple (LCM) of 63920 and 63940 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63920 and 63940. First we will calculate the prime factors of 63920 and 63940.

Prime Factorization of 63920

Prime Factorization of 63940

Now multiplying the highest exponent prime factors to calculate the LCM of 63920 and 63940.

LCM(63920,63940) = 2⁴ × 5¹ × 17¹ × 47¹ × 23¹ × 139¹
LCM(63920,63940) = 204352240