What is the Least Common Multiple of 48144 and 48158?

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 48144 and 48158 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48144 and 48158, than apply into the LCM equation.

GCF(48144,48158) = 2
LCM(48144,48158) = ( 48144 × 48158) / 2
LCM(48144,48158) = 2318518752 / 2
LCM(48144,48158) = 1159259376

Least Common Multiple (LCM) of 48144 and 48158 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48144 and 48158. First we will calculate the prime factors of 48144 and 48158.

Prime Factorization of 48144

Prime Factorization of 48158

Now multiplying the highest exponent prime factors to calculate the LCM of 48144 and 48158.

LCM(48144,48158) = 2⁴ × 3¹ × 17¹ × 59¹ × 11² × 199¹
LCM(48144,48158) = 1159259376