What is the Least Common Multiple of 90885 and 90890?

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 90885 and 90890 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90885 and 90890, than apply into the LCM equation.

GCF(90885,90890) = 5
LCM(90885,90890) = ( 90885 × 90890) / 5
LCM(90885,90890) = 8260537650 / 5
LCM(90885,90890) = 1652107530

Least Common Multiple (LCM) of 90885 and 90890 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90885 and 90890. First we will calculate the prime factors of 90885 and 90890.

Prime Factorization of 90885

Prime Factorization of 90890

Now multiplying the highest exponent prime factors to calculate the LCM of 90885 and 90890.

LCM(90885,90890) = 3¹ × 5¹ × 73¹ × 83¹ × 2¹ × 61¹ × 149¹
LCM(90885,90890) = 1652107530