What is the Least Common Multiple of 74142 and 74149?

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 74142 and 74149 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74142 and 74149, than apply into the LCM equation.

GCF(74142,74149) = 1
LCM(74142,74149) = ( 74142 × 74149) / 1
LCM(74142,74149) = 5497555158 / 1
LCM(74142,74149) = 5497555158

Least Common Multiple (LCM) of 74142 and 74149 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74142 and 74149. First we will calculate the prime factors of 74142 and 74149.

Prime Factorization of 74142

Prime Factorization of 74149

Now multiplying the highest exponent prime factors to calculate the LCM of 74142 and 74149.

LCM(74142,74149) = 2¹ × 3³ × 1373¹ × 74149¹
LCM(74142,74149) = 5497555158