What is the Least Common Multiple of 32274 and 32278?

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 32274 and 32278 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32274 and 32278, than apply into the LCM equation.

GCF(32274,32278) = 2
LCM(32274,32278) = ( 32274 × 32278) / 2
LCM(32274,32278) = 1041740172 / 2
LCM(32274,32278) = 520870086

Least Common Multiple (LCM) of 32274 and 32278 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32274 and 32278. First we will calculate the prime factors of 32274 and 32278.

Prime Factorization of 32274

Prime Factorization of 32278

Now multiplying the highest exponent prime factors to calculate the LCM of 32274 and 32278.

LCM(32274,32278) = 2¹ × 3² × 11¹ × 163¹ × 16139¹
LCM(32274,32278) = 520870086