What is the Least Common Multiple of 19753 and 19766?

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 19753 and 19766 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19753 and 19766, than apply into the LCM equation.

GCF(19753,19766) = 1
LCM(19753,19766) = ( 19753 × 19766) / 1
LCM(19753,19766) = 390437798 / 1
LCM(19753,19766) = 390437798

Least Common Multiple (LCM) of 19753 and 19766 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19753 and 19766. First we will calculate the prime factors of 19753 and 19766.

Prime Factorization of 19753

Prime Factorization of 19766

Now multiplying the highest exponent prime factors to calculate the LCM of 19753 and 19766.

LCM(19753,19766) = 19753¹ × 2¹ × 9883¹
LCM(19753,19766) = 390437798