What is the Least Common Multiple of 74928 and 74933?

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 74928 and 74933 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74928 and 74933, than apply into the LCM equation.

GCF(74928,74933) = 1
LCM(74928,74933) = ( 74928 × 74933) / 1
LCM(74928,74933) = 5614579824 / 1
LCM(74928,74933) = 5614579824

Least Common Multiple (LCM) of 74928 and 74933 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74928 and 74933. First we will calculate the prime factors of 74928 and 74933.

Prime Factorization of 74928

Prime Factorization of 74933

Now multiplying the highest exponent prime factors to calculate the LCM of 74928 and 74933.

LCM(74928,74933) = 2⁴ × 3¹ × 7¹ × 223¹ × 74933¹
LCM(74928,74933) = 5614579824