What is the Least Common Multiple of 63800 and 63808?

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 63800 and 63808 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63800 and 63808, than apply into the LCM equation.

GCF(63800,63808) = 8
LCM(63800,63808) = ( 63800 × 63808) / 8
LCM(63800,63808) = 4070950400 / 8
LCM(63800,63808) = 508868800

Least Common Multiple (LCM) of 63800 and 63808 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63800 and 63808. First we will calculate the prime factors of 63800 and 63808.

Prime Factorization of 63800

Prime Factorization of 63808

Now multiplying the highest exponent prime factors to calculate the LCM of 63800 and 63808.

LCM(63800,63808) = 2⁶ × 5² × 11¹ × 29¹ × 997¹
LCM(63800,63808) = 508868800