What is the Least Common Multiple of 90880 and 90892?

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 90880 and 90892 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90880 and 90892, than apply into the LCM equation.

GCF(90880,90892) = 4
LCM(90880,90892) = ( 90880 × 90892) / 4
LCM(90880,90892) = 8260264960 / 4
LCM(90880,90892) = 2065066240

Least Common Multiple (LCM) of 90880 and 90892 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90880 and 90892. First we will calculate the prime factors of 90880 and 90892.

Prime Factorization of 90880

Prime Factorization of 90892

Now multiplying the highest exponent prime factors to calculate the LCM of 90880 and 90892.

LCM(90880,90892) = 2⁸ × 5¹ × 71¹ × 31¹ × 733¹
LCM(90880,90892) = 2065066240