What is the Least Common Multiple of 32280 and 32292?

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 32280 and 32292 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32280 and 32292, than apply into the LCM equation.

GCF(32280,32292) = 12
LCM(32280,32292) = ( 32280 × 32292) / 12
LCM(32280,32292) = 1042385760 / 12
LCM(32280,32292) = 86865480

Least Common Multiple (LCM) of 32280 and 32292 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32280 and 32292. First we will calculate the prime factors of 32280 and 32292.

Prime Factorization of 32280

Prime Factorization of 32292

Now multiplying the highest exponent prime factors to calculate the LCM of 32280 and 32292.

LCM(32280,32292) = 2³ × 3³ × 5¹ × 269¹ × 13¹ × 23¹
LCM(32280,32292) = 86865480