What is the Least Common Multiple of 72414 and 72423?

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 72414 and 72423 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72414 and 72423, than apply into the LCM equation.

GCF(72414,72423) = 9
LCM(72414,72423) = ( 72414 × 72423) / 9
LCM(72414,72423) = 5244439122 / 9
LCM(72414,72423) = 582715458

Least Common Multiple (LCM) of 72414 and 72423 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72414 and 72423. First we will calculate the prime factors of 72414 and 72423.

Prime Factorization of 72414

Prime Factorization of 72423

Now multiplying the highest exponent prime factors to calculate the LCM of 72414 and 72423.

LCM(72414,72423) = 2¹ × 3⁵ × 149¹ × 13¹ × 619¹
LCM(72414,72423) = 582715458