What is the Least Common Multiple of 63980 and 64000?

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 63980 and 64000 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63980 and 64000, than apply into the LCM equation.

GCF(63980,64000) = 20
LCM(63980,64000) = ( 63980 × 64000) / 20
LCM(63980,64000) = 4094720000 / 20
LCM(63980,64000) = 204736000

Least Common Multiple (LCM) of 63980 and 64000 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63980 and 64000. First we will calculate the prime factors of 63980 and 64000.

Prime Factorization of 63980

Prime Factorization of 64000

Now multiplying the highest exponent prime factors to calculate the LCM of 63980 and 64000.

LCM(63980,64000) = 2⁹ × 5³ × 7¹ × 457¹
LCM(63980,64000) = 204736000