What is the Least Common Multiple of 90817 and 90830?

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 90817 and 90830 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90817 and 90830, than apply into the LCM equation.

GCF(90817,90830) = 1
LCM(90817,90830) = ( 90817 × 90830) / 1
LCM(90817,90830) = 8248908110 / 1
LCM(90817,90830) = 8248908110

Least Common Multiple (LCM) of 90817 and 90830 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90817 and 90830. First we will calculate the prime factors of 90817 and 90830.

Prime Factorization of 90817

Prime Factorization of 90830

Now multiplying the highest exponent prime factors to calculate the LCM of 90817 and 90830.

LCM(90817,90830) = 197¹ × 461¹ × 2¹ × 5¹ × 31¹ × 293¹
LCM(90817,90830) = 8248908110