What is the Least Common Multiple of 96142 and 96151?

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 96142 and 96151 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96142 and 96151, than apply into the LCM equation.

GCF(96142,96151) = 1
LCM(96142,96151) = ( 96142 × 96151) / 1
LCM(96142,96151) = 9244149442 / 1
LCM(96142,96151) = 9244149442

Least Common Multiple (LCM) of 96142 and 96151 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96142 and 96151. First we will calculate the prime factors of 96142 and 96151.

Prime Factorization of 96142

Prime Factorization of 96151

Now multiplying the highest exponent prime factors to calculate the LCM of 96142 and 96151.

LCM(96142,96151) = 2¹ × 53¹ × 907¹ × 11¹ × 8741¹
LCM(96142,96151) = 9244149442