What is the Least Common Multiple of 49138 and 49158?

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 49138 and 49158 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49138 and 49158, than apply into the LCM equation.

GCF(49138,49158) = 2
LCM(49138,49158) = ( 49138 × 49158) / 2
LCM(49138,49158) = 2415525804 / 2
LCM(49138,49158) = 1207762902

Least Common Multiple (LCM) of 49138 and 49158 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49138 and 49158. First we will calculate the prime factors of 49138 and 49158.

Prime Factorization of 49138

Prime Factorization of 49158

Now multiplying the highest exponent prime factors to calculate the LCM of 49138 and 49158.

LCM(49138,49158) = 2¹ × 79¹ × 311¹ × 3² × 2731¹
LCM(49138,49158) = 1207762902