What is the Least Common Multiple of 19640 and 19655?

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 19655 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 19655, than apply into the LCM equation.

GCF(19640,19655) = 5
LCM(19640,19655) = ( 19640 × 19655) / 5
LCM(19640,19655) = 386024200 / 5
LCM(19640,19655) = 77204840

Least Common Multiple (LCM) of 19640 and 19655 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19640 and 19655. First we will calculate the prime factors of 19640 and 19655.

Prime Factorization of 19640

Prime Factorization of 19655

Now multiplying the highest exponent prime factors to calculate the LCM of 19640 and 19655.

LCM(19640,19655) = 2³ × 5¹ × 491¹ × 3931¹
LCM(19640,19655) = 77204840