What is the Least Common Multiple of 59850 and 59859?

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 59859 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 59859, than apply into the LCM equation.

GCF(59850,59859) = 9
LCM(59850,59859) = ( 59850 × 59859) / 9
LCM(59850,59859) = 3582561150 / 9
LCM(59850,59859) = 398062350

Least Common Multiple (LCM) of 59850 and 59859 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59850 and 59859. First we will calculate the prime factors of 59850 and 59859.

Prime Factorization of 59850

Prime Factorization of 59859

Now multiplying the highest exponent prime factors to calculate the LCM of 59850 and 59859.

LCM(59850,59859) = 2¹ × 3⁴ × 5² × 7¹ × 19¹ × 739¹
LCM(59850,59859) = 398062350