What is the Least Common Multiple of 95149 and 95153?

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 95153 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 95153, than apply into the LCM equation.

GCF(95149,95153) = 1
LCM(95149,95153) = ( 95149 × 95153) / 1
LCM(95149,95153) = 9053712797 / 1
LCM(95149,95153) = 9053712797

Least Common Multiple (LCM) of 95149 and 95153 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95149 and 95153. First we will calculate the prime factors of 95149 and 95153.

Prime Factorization of 95149

Prime Factorization of 95153

Now multiplying the highest exponent prime factors to calculate the LCM of 95149 and 95153.

LCM(95149,95153) = 17¹ × 29¹ × 193¹ × 95153¹
LCM(95149,95153) = 9053712797