What is the Least Common Multiple of 19669 and 19682?

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 19669 and 19682 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19669 and 19682, than apply into the LCM equation.

GCF(19669,19682) = 13
LCM(19669,19682) = ( 19669 × 19682) / 13
LCM(19669,19682) = 387125258 / 13
LCM(19669,19682) = 29778866

Least Common Multiple (LCM) of 19669 and 19682 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19669 and 19682. First we will calculate the prime factors of 19669 and 19682.

Prime Factorization of 19669

Prime Factorization of 19682

Now multiplying the highest exponent prime factors to calculate the LCM of 19669 and 19682.

LCM(19669,19682) = 13¹ × 17¹ × 89¹ × 2¹ × 757¹
LCM(19669,19682) = 29778866