What is the Least Common Multiple of 49119 and 49126?

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 49126 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 49126, than apply into the LCM equation.

GCF(49119,49126) = 7
LCM(49119,49126) = ( 49119 × 49126) / 7
LCM(49119,49126) = 2413019994 / 7
LCM(49119,49126) = 344717142

Least Common Multiple (LCM) of 49119 and 49126 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49119 and 49126. First we will calculate the prime factors of 49119 and 49126.

Prime Factorization of 49119

Prime Factorization of 49126

Now multiplying the highest exponent prime factors to calculate the LCM of 49119 and 49126.

LCM(49119,49126) = 3¹ × 7¹ × 2339¹ × 2¹ × 11² × 29¹
LCM(49119,49126) = 344717142