What is the Least Common Multiple of 96140 and 96149?

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 96140 and 96149 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96140 and 96149, than apply into the LCM equation.

GCF(96140,96149) = 1
LCM(96140,96149) = ( 96140 × 96149) / 1
LCM(96140,96149) = 9243764860 / 1
LCM(96140,96149) = 9243764860

Least Common Multiple (LCM) of 96140 and 96149 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96140 and 96149. First we will calculate the prime factors of 96140 and 96149.

Prime Factorization of 96140

Prime Factorization of 96149

Now multiplying the highest exponent prime factors to calculate the LCM of 96140 and 96149.

LCM(96140,96149) = 2² × 5¹ × 11¹ × 19¹ × 23¹ × 96149¹
LCM(96140,96149) = 9243764860