What is the Least Common Multiple of 90885 and 90901?

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 90901 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 90901, than apply into the LCM equation.

GCF(90885,90901) = 1
LCM(90885,90901) = ( 90885 × 90901) / 1
LCM(90885,90901) = 8261537385 / 1
LCM(90885,90901) = 8261537385

Least Common Multiple (LCM) of 90885 and 90901 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90885 and 90901. First we will calculate the prime factors of 90885 and 90901.

Prime Factorization of 90885

Prime Factorization of 90901

Now multiplying the highest exponent prime factors to calculate the LCM of 90885 and 90901.

LCM(90885,90901) = 3¹ × 5¹ × 73¹ × 83¹ × 90901¹
LCM(90885,90901) = 8261537385