What is the Least Common Multiple of 96152 and 96169?

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 96152 and 96169 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96152 and 96169, than apply into the LCM equation.

GCF(96152,96169) = 17
LCM(96152,96169) = ( 96152 × 96169) / 17
LCM(96152,96169) = 9246841688 / 17
LCM(96152,96169) = 543931864

Least Common Multiple (LCM) of 96152 and 96169 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96152 and 96169. First we will calculate the prime factors of 96152 and 96169.

Prime Factorization of 96152

Prime Factorization of 96169

Now multiplying the highest exponent prime factors to calculate the LCM of 96152 and 96169.

LCM(96152,96169) = 2³ × 7¹ × 17¹ × 101¹ × 5657¹
LCM(96152,96169) = 543931864