What is the Least Common Multiple of 95152 and 95171?

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 95152 and 95171 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95152 and 95171, than apply into the LCM equation.

GCF(95152,95171) = 19
LCM(95152,95171) = ( 95152 × 95171) / 19
LCM(95152,95171) = 9055710992 / 19
LCM(95152,95171) = 476616368

Least Common Multiple (LCM) of 95152 and 95171 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95152 and 95171. First we will calculate the prime factors of 95152 and 95171.

Prime Factorization of 95152

Prime Factorization of 95171

Now multiplying the highest exponent prime factors to calculate the LCM of 95152 and 95171.

LCM(95152,95171) = 2⁴ × 19¹ × 313¹ × 5009¹
LCM(95152,95171) = 476616368