What is the Least Common Multiple of 19749 and 19768?

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 19749 and 19768 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19749 and 19768, than apply into the LCM equation.

GCF(19749,19768) = 1
LCM(19749,19768) = ( 19749 × 19768) / 1
LCM(19749,19768) = 390398232 / 1
LCM(19749,19768) = 390398232

Least Common Multiple (LCM) of 19749 and 19768 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19749 and 19768. First we will calculate the prime factors of 19749 and 19768.

Prime Factorization of 19749

Prime Factorization of 19768

Now multiplying the highest exponent prime factors to calculate the LCM of 19749 and 19768.

LCM(19749,19768) = 3¹ × 29¹ × 227¹ × 2³ × 7¹ × 353¹
LCM(19749,19768) = 390398232