What is the Least Common Multiple of 59850 and 59856?

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 59850 and 59856 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59850 and 59856, than apply into the LCM equation.

GCF(59850,59856) = 6
LCM(59850,59856) = ( 59850 × 59856) / 6
LCM(59850,59856) = 3582381600 / 6
LCM(59850,59856) = 597063600

Least Common Multiple (LCM) of 59850 and 59856 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59850 and 59856. First we will calculate the prime factors of 59850 and 59856.

Prime Factorization of 59850

Prime Factorization of 59856

Now multiplying the highest exponent prime factors to calculate the LCM of 59850 and 59856.

LCM(59850,59856) = 2⁴ × 3² × 5² × 7¹ × 19¹ × 29¹ × 43¹
LCM(59850,59856) = 597063600