What is the Least Common Multiple of 73410 and 73418?

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 73410 and 73418 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73410 and 73418, than apply into the LCM equation.

GCF(73410,73418) = 2
LCM(73410,73418) = ( 73410 × 73418) / 2
LCM(73410,73418) = 5389615380 / 2
LCM(73410,73418) = 2694807690

Least Common Multiple (LCM) of 73410 and 73418 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73410 and 73418. First we will calculate the prime factors of 73410 and 73418.

Prime Factorization of 73410

Prime Factorization of 73418

Now multiplying the highest exponent prime factors to calculate the LCM of 73410 and 73418.

LCM(73410,73418) = 2¹ × 3¹ × 5¹ × 2447¹ × 36709¹
LCM(73410,73418) = 2694807690