What is the Least Common Multiple of 90892 and 90896?

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 90892 and 90896 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90892 and 90896, than apply into the LCM equation.

GCF(90892,90896) = 4
LCM(90892,90896) = ( 90892 × 90896) / 4
LCM(90892,90896) = 8261719232 / 4
LCM(90892,90896) = 2065429808

Least Common Multiple (LCM) of 90892 and 90896 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90892 and 90896. First we will calculate the prime factors of 90892 and 90896.

Prime Factorization of 90892

Prime Factorization of 90896

Now multiplying the highest exponent prime factors to calculate the LCM of 90892 and 90896.

LCM(90892,90896) = 2⁴ × 31¹ × 733¹ × 13¹ × 19¹ × 23¹
LCM(90892,90896) = 2065429808