What is the Least Common Multiple of 72748 and 72768?

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 72748 and 72768 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72748 and 72768, than apply into the LCM equation.

GCF(72748,72768) = 4
LCM(72748,72768) = ( 72748 × 72768) / 4
LCM(72748,72768) = 5293726464 / 4
LCM(72748,72768) = 1323431616

Least Common Multiple (LCM) of 72748 and 72768 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72748 and 72768. First we will calculate the prime factors of 72748 and 72768.

Prime Factorization of 72748

Prime Factorization of 72768

Now multiplying the highest exponent prime factors to calculate the LCM of 72748 and 72768.

LCM(72748,72768) = 2⁶ × 13¹ × 1399¹ × 3¹ × 379¹
LCM(72748,72768) = 1323431616