What is the Least Common Multiple of 74094 and 74104?

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 74094 and 74104 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74094 and 74104, than apply into the LCM equation.

GCF(74094,74104) = 2
LCM(74094,74104) = ( 74094 × 74104) / 2
LCM(74094,74104) = 5490661776 / 2
LCM(74094,74104) = 2745330888

Least Common Multiple (LCM) of 74094 and 74104 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74094 and 74104. First we will calculate the prime factors of 74094 and 74104.

Prime Factorization of 74094

Prime Factorization of 74104

Now multiplying the highest exponent prime factors to calculate the LCM of 74094 and 74104.

LCM(74094,74104) = 2³ × 3¹ × 53¹ × 233¹ × 59¹ × 157¹
LCM(74094,74104) = 2745330888