What is the Least Common Multiple of 74208 and 74223?

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 74208 and 74223 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74208 and 74223, than apply into the LCM equation.

GCF(74208,74223) = 3
LCM(74208,74223) = ( 74208 × 74223) / 3
LCM(74208,74223) = 5507940384 / 3
LCM(74208,74223) = 1835980128

Least Common Multiple (LCM) of 74208 and 74223 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74208 and 74223. First we will calculate the prime factors of 74208 and 74223.

Prime Factorization of 74208

Prime Factorization of 74223

Now multiplying the highest exponent prime factors to calculate the LCM of 74208 and 74223.

LCM(74208,74223) = 2⁵ × 3³ × 773¹ × 2749¹
LCM(74208,74223) = 1835980128