What is the Least Common Multiple of 15222 and 15232?

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 15222 and 15232 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15222 and 15232, than apply into the LCM equation.

GCF(15222,15232) = 2
LCM(15222,15232) = ( 15222 × 15232) / 2
LCM(15222,15232) = 231861504 / 2
LCM(15222,15232) = 115930752

Least Common Multiple (LCM) of 15222 and 15232 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15222 and 15232. First we will calculate the prime factors of 15222 and 15232.

Prime Factorization of 15222

Prime Factorization of 15232

Now multiplying the highest exponent prime factors to calculate the LCM of 15222 and 15232.

LCM(15222,15232) = 2⁷ × 3¹ × 43¹ × 59¹ × 7¹ × 17¹
LCM(15222,15232) = 115930752