What is the Least Common Multiple of 63627 and 63641?

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 63627 and 63641 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63627 and 63641, than apply into the LCM equation.

GCF(63627,63641) = 1
LCM(63627,63641) = ( 63627 × 63641) / 1
LCM(63627,63641) = 4049285907 / 1
LCM(63627,63641) = 4049285907

Least Common Multiple (LCM) of 63627 and 63641 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63627 and 63641. First we will calculate the prime factors of 63627 and 63641.

Prime Factorization of 63627

Prime Factorization of 63641

Now multiplying the highest exponent prime factors to calculate the LCM of 63627 and 63641.

LCM(63627,63641) = 3¹ × 127¹ × 167¹ × 23¹ × 2767¹
LCM(63627,63641) = 4049285907