What is the Least Common Multiple of 74189 and 74208?

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 74189 and 74208 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74189 and 74208, than apply into the LCM equation.

GCF(74189,74208) = 1
LCM(74189,74208) = ( 74189 × 74208) / 1
LCM(74189,74208) = 5505417312 / 1
LCM(74189,74208) = 5505417312

Least Common Multiple (LCM) of 74189 and 74208 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74189 and 74208. First we will calculate the prime factors of 74189 and 74208.

Prime Factorization of 74189

Prime Factorization of 74208

Now multiplying the highest exponent prime factors to calculate the LCM of 74189 and 74208.

LCM(74189,74208) = 74189¹ × 2⁵ × 3¹ × 773¹
LCM(74189,74208) = 5505417312