What is the Least Common Multiple of 21674 and 21692?

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 21674 and 21692 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21674 and 21692, than apply into the LCM equation.

GCF(21674,21692) = 2
LCM(21674,21692) = ( 21674 × 21692) / 2
LCM(21674,21692) = 470152408 / 2
LCM(21674,21692) = 235076204

Least Common Multiple (LCM) of 21674 and 21692 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21674 and 21692. First we will calculate the prime factors of 21674 and 21692.

Prime Factorization of 21674

Prime Factorization of 21692

Now multiplying the highest exponent prime factors to calculate the LCM of 21674 and 21692.

LCM(21674,21692) = 2² × 10837¹ × 11¹ × 17¹ × 29¹
LCM(21674,21692) = 235076204