What is the Least Common Multiple of 49270 and 49282?

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 49270 and 49282 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49270 and 49282, than apply into the LCM equation.

GCF(49270,49282) = 2
LCM(49270,49282) = ( 49270 × 49282) / 2
LCM(49270,49282) = 2428124140 / 2
LCM(49270,49282) = 1214062070

Least Common Multiple (LCM) of 49270 and 49282 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49270 and 49282. First we will calculate the prime factors of 49270 and 49282.

Prime Factorization of 49270

Prime Factorization of 49282

Now multiplying the highest exponent prime factors to calculate the LCM of 49270 and 49282.

LCM(49270,49282) = 2¹ × 5¹ × 13¹ × 379¹ × 41¹ × 601¹
LCM(49270,49282) = 1214062070