What is the Least Common Multiple of 74145 and 74161?

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 74145 and 74161 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74145 and 74161, than apply into the LCM equation.

GCF(74145,74161) = 1
LCM(74145,74161) = ( 74145 × 74161) / 1
LCM(74145,74161) = 5498667345 / 1
LCM(74145,74161) = 5498667345

Least Common Multiple (LCM) of 74145 and 74161 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74145 and 74161. First we will calculate the prime factors of 74145 and 74161.

Prime Factorization of 74145

Prime Factorization of 74161

Now multiplying the highest exponent prime factors to calculate the LCM of 74145 and 74161.

LCM(74145,74161) = 3¹ × 5¹ × 4943¹ × 74161¹
LCM(74145,74161) = 5498667345