What is the Least Common Multiple of 95632 and 95649?

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 95632 and 95649 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95632 and 95649, than apply into the LCM equation.

GCF(95632,95649) = 1
LCM(95632,95649) = ( 95632 × 95649) / 1
LCM(95632,95649) = 9147105168 / 1
LCM(95632,95649) = 9147105168

Least Common Multiple (LCM) of 95632 and 95649 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95632 and 95649. First we will calculate the prime factors of 95632 and 95649.

Prime Factorization of 95632

Prime Factorization of 95649

Now multiplying the highest exponent prime factors to calculate the LCM of 95632 and 95649.

LCM(95632,95649) = 2⁴ × 43¹ × 139¹ × 3¹ × 31883¹
LCM(95632,95649) = 9147105168