What is the Least Common Multiple of 20946 and 20966?

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 20946 and 20966 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20946 and 20966, than apply into the LCM equation.

GCF(20946,20966) = 2
LCM(20946,20966) = ( 20946 × 20966) / 2
LCM(20946,20966) = 439153836 / 2
LCM(20946,20966) = 219576918

Least Common Multiple (LCM) of 20946 and 20966 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20946 and 20966. First we will calculate the prime factors of 20946 and 20966.

Prime Factorization of 20946

Prime Factorization of 20966

Now multiplying the highest exponent prime factors to calculate the LCM of 20946 and 20966.

LCM(20946,20966) = 2¹ × 3¹ × 3491¹ × 11¹ × 953¹
LCM(20946,20966) = 219576918