What is the Least Common Multiple of 90894 and 90899?

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 90894 and 90899 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90894 and 90899, than apply into the LCM equation.

GCF(90894,90899) = 1
LCM(90894,90899) = ( 90894 × 90899) / 1
LCM(90894,90899) = 8262173706 / 1
LCM(90894,90899) = 8262173706

Least Common Multiple (LCM) of 90894 and 90899 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90894 and 90899. First we will calculate the prime factors of 90894 and 90899.

Prime Factorization of 90894

Prime Factorization of 90899

Now multiplying the highest exponent prime factors to calculate the LCM of 90894 and 90899.

LCM(90894,90899) = 2¹ × 3¹ × 15149¹ × 17¹ × 5347¹
LCM(90894,90899) = 8262173706