What is the Least Common Multiple of 63680 and 63700?

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 63680 and 63700 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63680 and 63700, than apply into the LCM equation.

GCF(63680,63700) = 20
LCM(63680,63700) = ( 63680 × 63700) / 20
LCM(63680,63700) = 4056416000 / 20
LCM(63680,63700) = 202820800

Least Common Multiple (LCM) of 63680 and 63700 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63680 and 63700. First we will calculate the prime factors of 63680 and 63700.

Prime Factorization of 63680

Prime Factorization of 63700

Now multiplying the highest exponent prime factors to calculate the LCM of 63680 and 63700.

LCM(63680,63700) = 2⁶ × 5² × 199¹ × 7² × 13¹
LCM(63680,63700) = 202820800