What is the Least Common Multiple of 49314 and 49322?

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 49314 and 49322 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49314 and 49322, than apply into the LCM equation.

GCF(49314,49322) = 2
LCM(49314,49322) = ( 49314 × 49322) / 2
LCM(49314,49322) = 2432265108 / 2
LCM(49314,49322) = 1216132554

Least Common Multiple (LCM) of 49314 and 49322 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49314 and 49322. First we will calculate the prime factors of 49314 and 49322.

Prime Factorization of 49314

Prime Factorization of 49322

Now multiplying the highest exponent prime factors to calculate the LCM of 49314 and 49322.

LCM(49314,49322) = 2¹ × 3¹ × 8219¹ × 7¹ × 13¹ × 271¹
LCM(49314,49322) = 1216132554