What is the Least Common Multiple of 23235 and 23255?

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 23235 and 23255 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23235 and 23255, than apply into the LCM equation.

GCF(23235,23255) = 5
LCM(23235,23255) = ( 23235 × 23255) / 5
LCM(23235,23255) = 540329925 / 5
LCM(23235,23255) = 108065985

Least Common Multiple (LCM) of 23235 and 23255 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23235 and 23255. First we will calculate the prime factors of 23235 and 23255.

Prime Factorization of 23235

Prime Factorization of 23255

Now multiplying the highest exponent prime factors to calculate the LCM of 23235 and 23255.

LCM(23235,23255) = 3¹ × 5¹ × 1549¹ × 4651¹
LCM(23235,23255) = 108065985