What is the Least Common Multiple of 63900 and 63920?

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 63900 and 63920 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63900 and 63920, than apply into the LCM equation.

GCF(63900,63920) = 20
LCM(63900,63920) = ( 63900 × 63920) / 20
LCM(63900,63920) = 4084488000 / 20
LCM(63900,63920) = 204224400

Least Common Multiple (LCM) of 63900 and 63920 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63900 and 63920. First we will calculate the prime factors of 63900 and 63920.

Prime Factorization of 63900

Prime Factorization of 63920

Now multiplying the highest exponent prime factors to calculate the LCM of 63900 and 63920.

LCM(63900,63920) = 2⁴ × 3² × 5² × 71¹ × 17¹ × 47¹
LCM(63900,63920) = 204224400