What is the Least Common Multiple of 19640 and 19650?

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 19640 and 19650 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19640 and 19650, than apply into the LCM equation.

GCF(19640,19650) = 10
LCM(19640,19650) = ( 19640 × 19650) / 10
LCM(19640,19650) = 385926000 / 10
LCM(19640,19650) = 38592600

Least Common Multiple (LCM) of 19640 and 19650 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19640 and 19650. First we will calculate the prime factors of 19640 and 19650.

Prime Factorization of 19640

Prime Factorization of 19650

Now multiplying the highest exponent prime factors to calculate the LCM of 19640 and 19650.

LCM(19640,19650) = 2³ × 5² × 491¹ × 3¹ × 131¹
LCM(19640,19650) = 38592600