What is the Least Common Multiple of 49410 and 49418?

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 49410 and 49418 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49410 and 49418, than apply into the LCM equation.

GCF(49410,49418) = 2
LCM(49410,49418) = ( 49410 × 49418) / 2
LCM(49410,49418) = 2441743380 / 2
LCM(49410,49418) = 1220871690

Least Common Multiple (LCM) of 49410 and 49418 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49410 and 49418. First we will calculate the prime factors of 49410 and 49418.

Prime Factorization of 49410

Prime Factorization of 49418

Now multiplying the highest exponent prime factors to calculate the LCM of 49410 and 49418.

LCM(49410,49418) = 2¹ × 3⁴ × 5¹ × 61¹ × 24709¹
LCM(49410,49418) = 1220871690