What is the Least Common Multiple of 21574 and 21590?

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 21574 and 21590 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21574 and 21590, than apply into the LCM equation.

GCF(21574,21590) = 2
LCM(21574,21590) = ( 21574 × 21590) / 2
LCM(21574,21590) = 465782660 / 2
LCM(21574,21590) = 232891330

Least Common Multiple (LCM) of 21574 and 21590 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21574 and 21590. First we will calculate the prime factors of 21574 and 21590.

Prime Factorization of 21574

Prime Factorization of 21590

Now multiplying the highest exponent prime factors to calculate the LCM of 21574 and 21590.

LCM(21574,21590) = 2¹ × 7¹ × 23¹ × 67¹ × 5¹ × 17¹ × 127¹
LCM(21574,21590) = 232891330