What is the Least Common Multiple of 74146 and 74153?

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 74146 and 74153 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74146 and 74153, than apply into the LCM equation.

GCF(74146,74153) = 1
LCM(74146,74153) = ( 74146 × 74153) / 1
LCM(74146,74153) = 5498148338 / 1
LCM(74146,74153) = 5498148338

Least Common Multiple (LCM) of 74146 and 74153 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74146 and 74153. First we will calculate the prime factors of 74146 and 74153.

Prime Factorization of 74146

Prime Factorization of 74153

Now multiplying the highest exponent prime factors to calculate the LCM of 74146 and 74153.

LCM(74146,74153) = 2¹ × 131¹ × 283¹ × 29¹ × 2557¹
LCM(74146,74153) = 5498148338