What is the Least Common Multiple of 19720 and 19726?

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 19720 and 19726 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19720 and 19726, than apply into the LCM equation.

GCF(19720,19726) = 2
LCM(19720,19726) = ( 19720 × 19726) / 2
LCM(19720,19726) = 388996720 / 2
LCM(19720,19726) = 194498360

Least Common Multiple (LCM) of 19720 and 19726 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19720 and 19726. First we will calculate the prime factors of 19720 and 19726.

Prime Factorization of 19720

Prime Factorization of 19726

Now multiplying the highest exponent prime factors to calculate the LCM of 19720 and 19726.

LCM(19720,19726) = 2³ × 5¹ × 17¹ × 29¹ × 7¹ × 1409¹
LCM(19720,19726) = 194498360