What is the Least Common Multiple of 59856 and 59871?

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 59856 and 59871 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59856 and 59871, than apply into the LCM equation.

GCF(59856,59871) = 3
LCM(59856,59871) = ( 59856 × 59871) / 3
LCM(59856,59871) = 3583638576 / 3
LCM(59856,59871) = 1194546192

Least Common Multiple (LCM) of 59856 and 59871 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59856 and 59871. First we will calculate the prime factors of 59856 and 59871.

Prime Factorization of 59856

Prime Factorization of 59871

Now multiplying the highest exponent prime factors to calculate the LCM of 59856 and 59871.

LCM(59856,59871) = 2⁴ × 3¹ × 29¹ × 43¹ × 7¹ × 2851¹
LCM(59856,59871) = 1194546192