What is the Least Common Multiple of 19836 and 19851?

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 19836 and 19851 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19836 and 19851, than apply into the LCM equation.

GCF(19836,19851) = 3
LCM(19836,19851) = ( 19836 × 19851) / 3
LCM(19836,19851) = 393764436 / 3
LCM(19836,19851) = 131254812

Least Common Multiple (LCM) of 19836 and 19851 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19836 and 19851. First we will calculate the prime factors of 19836 and 19851.

Prime Factorization of 19836

Prime Factorization of 19851

Now multiplying the highest exponent prime factors to calculate the LCM of 19836 and 19851.

LCM(19836,19851) = 2² × 3² × 19¹ × 29¹ × 13¹ × 509¹
LCM(19836,19851) = 131254812