What is the Least Common Multiple of 63920 and 63925?

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 63920 and 63925 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63920 and 63925, than apply into the LCM equation.

GCF(63920,63925) = 5
LCM(63920,63925) = ( 63920 × 63925) / 5
LCM(63920,63925) = 4086086000 / 5
LCM(63920,63925) = 817217200

Least Common Multiple (LCM) of 63920 and 63925 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63920 and 63925. First we will calculate the prime factors of 63920 and 63925.

Prime Factorization of 63920

Prime Factorization of 63925

Now multiplying the highest exponent prime factors to calculate the LCM of 63920 and 63925.

LCM(63920,63925) = 2⁴ × 5² × 17¹ × 47¹ × 2557¹
LCM(63920,63925) = 817217200