What is the Least Common Multiple of 19746 and 19753?

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 19746 and 19753 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19746 and 19753, than apply into the LCM equation.

GCF(19746,19753) = 1
LCM(19746,19753) = ( 19746 × 19753) / 1
LCM(19746,19753) = 390042738 / 1
LCM(19746,19753) = 390042738

Least Common Multiple (LCM) of 19746 and 19753 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19746 and 19753. First we will calculate the prime factors of 19746 and 19753.

Prime Factorization of 19746

Prime Factorization of 19753

Now multiplying the highest exponent prime factors to calculate the LCM of 19746 and 19753.

LCM(19746,19753) = 2¹ × 3² × 1097¹ × 19753¹
LCM(19746,19753) = 390042738