What is the Least Common Multiple of 49110 and 49122?

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 49122 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 49122, than apply into the LCM equation.

GCF(49110,49122) = 6
LCM(49110,49122) = ( 49110 × 49122) / 6
LCM(49110,49122) = 2412381420 / 6
LCM(49110,49122) = 402063570

Least Common Multiple (LCM) of 49110 and 49122 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49110 and 49122. First we will calculate the prime factors of 49110 and 49122.

Prime Factorization of 49110

Prime Factorization of 49122

Now multiplying the highest exponent prime factors to calculate the LCM of 49110 and 49122.

LCM(49110,49122) = 2¹ × 3² × 5¹ × 1637¹ × 2729¹
LCM(49110,49122) = 402063570