What is the Least Common Multiple of 63578 and 63592?

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 63578 and 63592 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63578 and 63592, than apply into the LCM equation.

GCF(63578,63592) = 2
LCM(63578,63592) = ( 63578 × 63592) / 2
LCM(63578,63592) = 4043052176 / 2
LCM(63578,63592) = 2021526088

Least Common Multiple (LCM) of 63578 and 63592 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63578 and 63592. First we will calculate the prime factors of 63578 and 63592.

Prime Factorization of 63578

Prime Factorization of 63592

Now multiplying the highest exponent prime factors to calculate the LCM of 63578 and 63592.

LCM(63578,63592) = 2³ × 83¹ × 383¹ × 7949¹
LCM(63578,63592) = 2021526088