What is the Least Common Multiple of 95112 and 95119?

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 95112 and 95119 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95112 and 95119, than apply into the LCM equation.

GCF(95112,95119) = 1
LCM(95112,95119) = ( 95112 × 95119) / 1
LCM(95112,95119) = 9046958328 / 1
LCM(95112,95119) = 9046958328

Least Common Multiple (LCM) of 95112 and 95119 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95112 and 95119. First we will calculate the prime factors of 95112 and 95119.

Prime Factorization of 95112

Prime Factorization of 95119

Now multiplying the highest exponent prime factors to calculate the LCM of 95112 and 95119.

LCM(95112,95119) = 2³ × 3² × 1321¹ × 73¹ × 1303¹
LCM(95112,95119) = 9046958328