What is the Least Common Multiple of 19850 and 19859?

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 19850 and 19859 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19850 and 19859, than apply into the LCM equation.

GCF(19850,19859) = 1
LCM(19850,19859) = ( 19850 × 19859) / 1
LCM(19850,19859) = 394201150 / 1
LCM(19850,19859) = 394201150

Least Common Multiple (LCM) of 19850 and 19859 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19850 and 19859. First we will calculate the prime factors of 19850 and 19859.

Prime Factorization of 19850

Prime Factorization of 19859

Now multiplying the highest exponent prime factors to calculate the LCM of 19850 and 19859.

LCM(19850,19859) = 2¹ × 5² × 397¹ × 7¹ × 2837¹
LCM(19850,19859) = 394201150