What is the Least Common Multiple of 99080 and 99091?

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 99080 and 99091 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99080 and 99091, than apply into the LCM equation.

GCF(99080,99091) = 1
LCM(99080,99091) = ( 99080 × 99091) / 1
LCM(99080,99091) = 9817936280 / 1
LCM(99080,99091) = 9817936280

Least Common Multiple (LCM) of 99080 and 99091 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99080 and 99091. First we will calculate the prime factors of 99080 and 99091.

Prime Factorization of 99080

Prime Factorization of 99091

Now multiplying the highest exponent prime factors to calculate the LCM of 99080 and 99091.

LCM(99080,99091) = 2³ × 5¹ × 2477¹ × 197¹ × 503¹
LCM(99080,99091) = 9817936280