What is the Least Common Multiple of 19640 and 19659?

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 19659 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 19659, than apply into the LCM equation.

GCF(19640,19659) = 1
LCM(19640,19659) = ( 19640 × 19659) / 1
LCM(19640,19659) = 386102760 / 1
LCM(19640,19659) = 386102760

Least Common Multiple (LCM) of 19640 and 19659 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19640 and 19659. First we will calculate the prime factors of 19640 and 19659.

Prime Factorization of 19640

Prime Factorization of 19659

Now multiplying the highest exponent prime factors to calculate the LCM of 19640 and 19659.

LCM(19640,19659) = 2³ × 5¹ × 491¹ × 3¹ × 6553¹
LCM(19640,19659) = 386102760