What is the Least Common Multiple of 19646 and 19657?

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 19646 and 19657 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19646 and 19657, than apply into the LCM equation.

GCF(19646,19657) = 11
LCM(19646,19657) = ( 19646 × 19657) / 11
LCM(19646,19657) = 386181422 / 11
LCM(19646,19657) = 35107402

Least Common Multiple (LCM) of 19646 and 19657 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19646 and 19657. First we will calculate the prime factors of 19646 and 19657.

Prime Factorization of 19646

Prime Factorization of 19657

Now multiplying the highest exponent prime factors to calculate the LCM of 19646 and 19657.

LCM(19646,19657) = 2¹ × 11¹ × 19¹ × 47¹ × 1787¹
LCM(19646,19657) = 35107402