What is the Least Common Multiple of 72438 and 72448?

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 72438 and 72448 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72438 and 72448, than apply into the LCM equation.

GCF(72438,72448) = 2
LCM(72438,72448) = ( 72438 × 72448) / 2
LCM(72438,72448) = 5247988224 / 2
LCM(72438,72448) = 2623994112

Least Common Multiple (LCM) of 72438 and 72448 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72438 and 72448. First we will calculate the prime factors of 72438 and 72448.

Prime Factorization of 72438

Prime Factorization of 72448

Now multiplying the highest exponent prime factors to calculate the LCM of 72438 and 72448.

LCM(72438,72448) = 2⁸ × 3¹ × 12073¹ × 283¹
LCM(72438,72448) = 2623994112