What is the Least Common Multiple of 13232 and 13250?

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 13232 and 13250 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13232 and 13250, than apply into the LCM equation.

GCF(13232,13250) = 2
LCM(13232,13250) = ( 13232 × 13250) / 2
LCM(13232,13250) = 175324000 / 2
LCM(13232,13250) = 87662000

Least Common Multiple (LCM) of 13232 and 13250 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13232 and 13250. First we will calculate the prime factors of 13232 and 13250.

Prime Factorization of 13232

Prime Factorization of 13250

Now multiplying the highest exponent prime factors to calculate the LCM of 13232 and 13250.

LCM(13232,13250) = 2⁴ × 827¹ × 5³ × 53¹
LCM(13232,13250) = 87662000