What is the Least Common Multiple of 32214 and 32223?

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 32214 and 32223 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32214 and 32223, than apply into the LCM equation.

GCF(32214,32223) = 3
LCM(32214,32223) = ( 32214 × 32223) / 3
LCM(32214,32223) = 1038031722 / 3
LCM(32214,32223) = 346010574

Least Common Multiple (LCM) of 32214 and 32223 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32214 and 32223. First we will calculate the prime factors of 32214 and 32223.

Prime Factorization of 32214

Prime Factorization of 32223

Now multiplying the highest exponent prime factors to calculate the LCM of 32214 and 32223.

LCM(32214,32223) = 2¹ × 3¹ × 7¹ × 13¹ × 59¹ × 23¹ × 467¹
LCM(32214,32223) = 346010574