What is the Least Common Multiple of 15236 and 15252?

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 15236 and 15252 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15236 and 15252, than apply into the LCM equation.

GCF(15236,15252) = 4
LCM(15236,15252) = ( 15236 × 15252) / 4
LCM(15236,15252) = 232379472 / 4
LCM(15236,15252) = 58094868

Least Common Multiple (LCM) of 15236 and 15252 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15236 and 15252. First we will calculate the prime factors of 15236 and 15252.

Prime Factorization of 15236

Prime Factorization of 15252

Now multiplying the highest exponent prime factors to calculate the LCM of 15236 and 15252.

LCM(15236,15252) = 2² × 13¹ × 293¹ × 3¹ × 31¹ × 41¹
LCM(15236,15252) = 58094868