What is the Least Common Multiple of 22674 and 22693?

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 22674 and 22693 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22674 and 22693, than apply into the LCM equation.

GCF(22674,22693) = 1
LCM(22674,22693) = ( 22674 × 22693) / 1
LCM(22674,22693) = 514541082 / 1
LCM(22674,22693) = 514541082

Least Common Multiple (LCM) of 22674 and 22693 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22674 and 22693. First we will calculate the prime factors of 22674 and 22693.

Prime Factorization of 22674

Prime Factorization of 22693

Now multiplying the highest exponent prime factors to calculate the LCM of 22674 and 22693.

LCM(22674,22693) = 2¹ × 3¹ × 3779¹ × 11¹ × 2063¹
LCM(22674,22693) = 514541082