What is the Least Common Multiple of 95149 and 95167?

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 95149 and 95167 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95149 and 95167, than apply into the LCM equation.

GCF(95149,95167) = 1
LCM(95149,95167) = ( 95149 × 95167) / 1
LCM(95149,95167) = 9055044883 / 1
LCM(95149,95167) = 9055044883

Least Common Multiple (LCM) of 95149 and 95167 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95149 and 95167. First we will calculate the prime factors of 95149 and 95167.

Prime Factorization of 95149

Prime Factorization of 95167

Now multiplying the highest exponent prime factors to calculate the LCM of 95149 and 95167.

LCM(95149,95167) = 17¹ × 29¹ × 193¹ × 59¹ × 1613¹
LCM(95149,95167) = 9055044883