What is the Least Common Multiple of 20918 and 20933?

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 20918 and 20933 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20918 and 20933, than apply into the LCM equation.

GCF(20918,20933) = 1
LCM(20918,20933) = ( 20918 × 20933) / 1
LCM(20918,20933) = 437876494 / 1
LCM(20918,20933) = 437876494

Least Common Multiple (LCM) of 20918 and 20933 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20918 and 20933. First we will calculate the prime factors of 20918 and 20933.

Prime Factorization of 20918

Prime Factorization of 20933

Now multiplying the highest exponent prime factors to calculate the LCM of 20918 and 20933.

LCM(20918,20933) = 2¹ × 10459¹ × 11² × 173¹
LCM(20918,20933) = 437876494