What is the Least Common Multiple of 63100 and 63104?

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 63100 and 63104 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63100 and 63104, than apply into the LCM equation.

GCF(63100,63104) = 4
LCM(63100,63104) = ( 63100 × 63104) / 4
LCM(63100,63104) = 3981862400 / 4
LCM(63100,63104) = 995465600

Least Common Multiple (LCM) of 63100 and 63104 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63100 and 63104. First we will calculate the prime factors of 63100 and 63104.

Prime Factorization of 63100

Prime Factorization of 63104

Now multiplying the highest exponent prime factors to calculate the LCM of 63100 and 63104.

LCM(63100,63104) = 2⁷ × 5² × 631¹ × 17¹ × 29¹
LCM(63100,63104) = 995465600