What is the Least Common Multiple of 21560 and 21574?

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 21560 and 21574 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21560 and 21574, than apply into the LCM equation.

GCF(21560,21574) = 14
LCM(21560,21574) = ( 21560 × 21574) / 14
LCM(21560,21574) = 465135440 / 14
LCM(21560,21574) = 33223960

Least Common Multiple (LCM) of 21560 and 21574 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21560 and 21574. First we will calculate the prime factors of 21560 and 21574.

Prime Factorization of 21560

Prime Factorization of 21574

Now multiplying the highest exponent prime factors to calculate the LCM of 21560 and 21574.

LCM(21560,21574) = 2³ × 5¹ × 7² × 11¹ × 23¹ × 67¹
LCM(21560,21574) = 33223960