What is the Least Common Multiple of 74105 and 74116?

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 74105 and 74116 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74105 and 74116, than apply into the LCM equation.

GCF(74105,74116) = 1
LCM(74105,74116) = ( 74105 × 74116) / 1
LCM(74105,74116) = 5492366180 / 1
LCM(74105,74116) = 5492366180

Least Common Multiple (LCM) of 74105 and 74116 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74105 and 74116. First we will calculate the prime factors of 74105 and 74116.

Prime Factorization of 74105

Prime Factorization of 74116

Now multiplying the highest exponent prime factors to calculate the LCM of 74105 and 74116.

LCM(74105,74116) = 5¹ × 14821¹ × 2² × 7¹ × 2647¹
LCM(74105,74116) = 5492366180