What is the Least Common Multiple of 13238 and 13252?

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 13238 and 13252 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13238 and 13252, than apply into the LCM equation.

GCF(13238,13252) = 2
LCM(13238,13252) = ( 13238 × 13252) / 2
LCM(13238,13252) = 175429976 / 2
LCM(13238,13252) = 87714988

Least Common Multiple (LCM) of 13238 and 13252 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13238 and 13252. First we will calculate the prime factors of 13238 and 13252.

Prime Factorization of 13238

Prime Factorization of 13252

Now multiplying the highest exponent prime factors to calculate the LCM of 13238 and 13252.

LCM(13238,13252) = 2² × 6619¹ × 3313¹
LCM(13238,13252) = 87714988