What is the Least Common Multiple of 19850 and 19868?

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 19868 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 19868, than apply into the LCM equation.

GCF(19850,19868) = 2
LCM(19850,19868) = ( 19850 × 19868) / 2
LCM(19850,19868) = 394379800 / 2
LCM(19850,19868) = 197189900

Least Common Multiple (LCM) of 19850 and 19868 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19850 and 19868. First we will calculate the prime factors of 19850 and 19868.

Prime Factorization of 19850

Prime Factorization of 19868

Now multiplying the highest exponent prime factors to calculate the LCM of 19850 and 19868.

LCM(19850,19868) = 2² × 5² × 397¹ × 4967¹
LCM(19850,19868) = 197189900