What is the Least Common Multiple of 74084 and 74094?

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 74084 and 74094 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74084 and 74094, than apply into the LCM equation.

GCF(74084,74094) = 2
LCM(74084,74094) = ( 74084 × 74094) / 2
LCM(74084,74094) = 5489179896 / 2
LCM(74084,74094) = 2744589948

Least Common Multiple (LCM) of 74084 and 74094 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74084 and 74094. First we will calculate the prime factors of 74084 and 74094.

Prime Factorization of 74084

Prime Factorization of 74094

Now multiplying the highest exponent prime factors to calculate the LCM of 74084 and 74094.

LCM(74084,74094) = 2² × 18521¹ × 3¹ × 53¹ × 233¹
LCM(74084,74094) = 2744589948