What is the Least Common Multiple of 59856 and 59874?

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 59874 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 59874, than apply into the LCM equation.

GCF(59856,59874) = 6
LCM(59856,59874) = ( 59856 × 59874) / 6
LCM(59856,59874) = 3583818144 / 6
LCM(59856,59874) = 597303024

Least Common Multiple (LCM) of 59856 and 59874 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59856 and 59874. First we will calculate the prime factors of 59856 and 59874.

Prime Factorization of 59856

Prime Factorization of 59874

Now multiplying the highest exponent prime factors to calculate the LCM of 59856 and 59874.

LCM(59856,59874) = 2⁴ × 3¹ × 29¹ × 43¹ × 17¹ × 587¹
LCM(59856,59874) = 597303024