What is the Least Common Multiple of 63782 and 63800?

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 63782 and 63800 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63782 and 63800, than apply into the LCM equation.

GCF(63782,63800) = 2
LCM(63782,63800) = ( 63782 × 63800) / 2
LCM(63782,63800) = 4069291600 / 2
LCM(63782,63800) = 2034645800

Least Common Multiple (LCM) of 63782 and 63800 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63782 and 63800. First we will calculate the prime factors of 63782 and 63800.

Prime Factorization of 63782

Prime Factorization of 63800

Now multiplying the highest exponent prime factors to calculate the LCM of 63782 and 63800.

LCM(63782,63800) = 2³ × 31891¹ × 5² × 11¹ × 29¹
LCM(63782,63800) = 2034645800