What is the Least Common Multiple of 74748 and 74752?

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 74748 and 74752 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74748 and 74752, than apply into the LCM equation.

GCF(74748,74752) = 4
LCM(74748,74752) = ( 74748 × 74752) / 4
LCM(74748,74752) = 5587562496 / 4
LCM(74748,74752) = 1396890624

Least Common Multiple (LCM) of 74748 and 74752 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74748 and 74752. First we will calculate the prime factors of 74748 and 74752.

Prime Factorization of 74748

Prime Factorization of 74752

Now multiplying the highest exponent prime factors to calculate the LCM of 74748 and 74752.

LCM(74748,74752) = 2¹⁰ × 3¹ × 6229¹ × 73¹
LCM(74748,74752) = 1396890624