What is the Least Common Multiple of 22074 and 22086?

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 22074 and 22086 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22074 and 22086, than apply into the LCM equation.

GCF(22074,22086) = 6
LCM(22074,22086) = ( 22074 × 22086) / 6
LCM(22074,22086) = 487526364 / 6
LCM(22074,22086) = 81254394

Least Common Multiple (LCM) of 22074 and 22086 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22074 and 22086. First we will calculate the prime factors of 22074 and 22086.

Prime Factorization of 22074

Prime Factorization of 22086

Now multiplying the highest exponent prime factors to calculate the LCM of 22074 and 22086.

LCM(22074,22086) = 2¹ × 3³ × 13¹ × 283¹ × 409¹
LCM(22074,22086) = 81254394