What is the Least Common Multiple of 32912 and 32920?

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 32912 and 32920 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32912 and 32920, than apply into the LCM equation.

GCF(32912,32920) = 8
LCM(32912,32920) = ( 32912 × 32920) / 8
LCM(32912,32920) = 1083463040 / 8
LCM(32912,32920) = 135432880

Least Common Multiple (LCM) of 32912 and 32920 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32912 and 32920. First we will calculate the prime factors of 32912 and 32920.

Prime Factorization of 32912

Prime Factorization of 32920

Now multiplying the highest exponent prime factors to calculate the LCM of 32912 and 32920.

LCM(32912,32920) = 2⁴ × 11² × 17¹ × 5¹ × 823¹
LCM(32912,32920) = 135432880