What is the Least Common Multiple of 49110 and 49118?

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 49110 and 49118 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49110 and 49118, than apply into the LCM equation.

GCF(49110,49118) = 2
LCM(49110,49118) = ( 49110 × 49118) / 2
LCM(49110,49118) = 2412184980 / 2
LCM(49110,49118) = 1206092490

Least Common Multiple (LCM) of 49110 and 49118 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49110 and 49118. First we will calculate the prime factors of 49110 and 49118.

Prime Factorization of 49110

Prime Factorization of 49118

Now multiplying the highest exponent prime factors to calculate the LCM of 49110 and 49118.

LCM(49110,49118) = 2¹ × 3¹ × 5¹ × 1637¹ × 41¹ × 599¹
LCM(49110,49118) = 1206092490