What is the Least Common Multiple of 19701 and 19706?

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 19701 and 19706 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19701 and 19706, than apply into the LCM equation.

GCF(19701,19706) = 1
LCM(19701,19706) = ( 19701 × 19706) / 1
LCM(19701,19706) = 388227906 / 1
LCM(19701,19706) = 388227906

Least Common Multiple (LCM) of 19701 and 19706 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19701 and 19706. First we will calculate the prime factors of 19701 and 19706.

Prime Factorization of 19701

Prime Factorization of 19706

Now multiplying the highest exponent prime factors to calculate the LCM of 19701 and 19706.

LCM(19701,19706) = 3² × 11¹ × 199¹ × 2¹ × 59¹ × 167¹
LCM(19701,19706) = 388227906