What is the Least Common Multiple of 63255 and 63269?

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 63255 and 63269 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63255 and 63269, than apply into the LCM equation.

GCF(63255,63269) = 1
LCM(63255,63269) = ( 63255 × 63269) / 1
LCM(63255,63269) = 4002080595 / 1
LCM(63255,63269) = 4002080595

Least Common Multiple (LCM) of 63255 and 63269 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63255 and 63269. First we will calculate the prime factors of 63255 and 63269.

Prime Factorization of 63255

Prime Factorization of 63269

Now multiplying the highest exponent prime factors to calculate the LCM of 63255 and 63269.

LCM(63255,63269) = 3¹ × 5¹ × 4217¹ × 151¹ × 419¹
LCM(63255,63269) = 4002080595