What is the Least Common Multiple of 32880 and 32892?

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 32880 and 32892 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32880 and 32892, than apply into the LCM equation.

GCF(32880,32892) = 12
LCM(32880,32892) = ( 32880 × 32892) / 12
LCM(32880,32892) = 1081488960 / 12
LCM(32880,32892) = 90124080

Least Common Multiple (LCM) of 32880 and 32892 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32880 and 32892. First we will calculate the prime factors of 32880 and 32892.

Prime Factorization of 32880

Prime Factorization of 32892

Now multiplying the highest exponent prime factors to calculate the LCM of 32880 and 32892.

LCM(32880,32892) = 2⁴ × 3¹ × 5¹ × 137¹ × 2741¹
LCM(32880,32892) = 90124080