What is the Least Common Multiple of 49284 and 49290?

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 49284 and 49290 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49284 and 49290, than apply into the LCM equation.

GCF(49284,49290) = 6
LCM(49284,49290) = ( 49284 × 49290) / 6
LCM(49284,49290) = 2429208360 / 6
LCM(49284,49290) = 404868060

Least Common Multiple (LCM) of 49284 and 49290 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49284 and 49290. First we will calculate the prime factors of 49284 and 49290.

Prime Factorization of 49284

Prime Factorization of 49290

Now multiplying the highest exponent prime factors to calculate the LCM of 49284 and 49290.

LCM(49284,49290) = 2² × 3² × 37² × 5¹ × 31¹ × 53¹
LCM(49284,49290) = 404868060