What is the Least Common Multiple of 49404 and 49410?

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 49404 and 49410 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49404 and 49410, than apply into the LCM equation.

GCF(49404,49410) = 6
LCM(49404,49410) = ( 49404 × 49410) / 6
LCM(49404,49410) = 2441051640 / 6
LCM(49404,49410) = 406841940

Least Common Multiple (LCM) of 49404 and 49410 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49404 and 49410. First we will calculate the prime factors of 49404 and 49410.

Prime Factorization of 49404

Prime Factorization of 49410

Now multiplying the highest exponent prime factors to calculate the LCM of 49404 and 49410.

LCM(49404,49410) = 2² × 3⁴ × 23¹ × 179¹ × 5¹ × 61¹
LCM(49404,49410) = 406841940