What is the Least Common Multiple of 95649 and 95658?

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 95649 and 95658 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95649 and 95658, than apply into the LCM equation.

GCF(95649,95658) = 3
LCM(95649,95658) = ( 95649 × 95658) / 3
LCM(95649,95658) = 9149592042 / 3
LCM(95649,95658) = 3049864014

Least Common Multiple (LCM) of 95649 and 95658 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95649 and 95658. First we will calculate the prime factors of 95649 and 95658.

Prime Factorization of 95649

Prime Factorization of 95658

Now multiplying the highest exponent prime factors to calculate the LCM of 95649 and 95658.

LCM(95649,95658) = 3¹ × 31883¹ × 2¹ × 107¹ × 149¹
LCM(95649,95658) = 3049864014