What is the Least Common Multiple of 72448 and 72462?

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 72448 and 72462 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72448 and 72462, than apply into the LCM equation.

GCF(72448,72462) = 2
LCM(72448,72462) = ( 72448 × 72462) / 2
LCM(72448,72462) = 5249726976 / 2
LCM(72448,72462) = 2624863488

Least Common Multiple (LCM) of 72448 and 72462 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72448 and 72462. First we will calculate the prime factors of 72448 and 72462.

Prime Factorization of 72448

Prime Factorization of 72462

Now multiplying the highest exponent prime factors to calculate the LCM of 72448 and 72462.

LCM(72448,72462) = 2⁸ × 283¹ × 3¹ × 13¹ × 929¹
LCM(72448,72462) = 2624863488