What is the Least Common Multiple of 49119 and 49138?

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 49119 and 49138 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49119 and 49138, than apply into the LCM equation.

GCF(49119,49138) = 1
LCM(49119,49138) = ( 49119 × 49138) / 1
LCM(49119,49138) = 2413609422 / 1
LCM(49119,49138) = 2413609422

Least Common Multiple (LCM) of 49119 and 49138 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49119 and 49138. First we will calculate the prime factors of 49119 and 49138.

Prime Factorization of 49119

Prime Factorization of 49138

Now multiplying the highest exponent prime factors to calculate the LCM of 49119 and 49138.

LCM(49119,49138) = 3¹ × 7¹ × 2339¹ × 2¹ × 79¹ × 311¹
LCM(49119,49138) = 2413609422