What is the Least Common Multiple of 20918 and 20930?

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 20930 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 20930, than apply into the LCM equation.

GCF(20918,20930) = 2
LCM(20918,20930) = ( 20918 × 20930) / 2
LCM(20918,20930) = 437813740 / 2
LCM(20918,20930) = 218906870

Least Common Multiple (LCM) of 20918 and 20930 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20918 and 20930. First we will calculate the prime factors of 20918 and 20930.

Prime Factorization of 20918

Prime Factorization of 20930

Now multiplying the highest exponent prime factors to calculate the LCM of 20918 and 20930.

LCM(20918,20930) = 2¹ × 10459¹ × 5¹ × 7¹ × 13¹ × 23¹
LCM(20918,20930) = 218906870