What is the Least Common Multiple of 15184 and 15202?

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 15184 and 15202 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15184 and 15202, than apply into the LCM equation.

GCF(15184,15202) = 2
LCM(15184,15202) = ( 15184 × 15202) / 2
LCM(15184,15202) = 230827168 / 2
LCM(15184,15202) = 115413584

Least Common Multiple (LCM) of 15184 and 15202 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15184 and 15202. First we will calculate the prime factors of 15184 and 15202.

Prime Factorization of 15184

Prime Factorization of 15202

Now multiplying the highest exponent prime factors to calculate the LCM of 15184 and 15202.

LCM(15184,15202) = 2⁴ × 13¹ × 73¹ × 11¹ × 691¹
LCM(15184,15202) = 115413584