What is the Least Common Multiple of 9078 and 9097?

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 9078 and 9097 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9078 and 9097, than apply into the LCM equation.

GCF(9078,9097) = 1
LCM(9078,9097) = ( 9078 × 9097) / 1
LCM(9078,9097) = 82582566 / 1
LCM(9078,9097) = 82582566

Least Common Multiple (LCM) of 9078 and 9097 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9078 and 9097. First we will calculate the prime factors of 9078 and 9097.

Prime Factorization of 9078

Prime Factorization of 9097

Now multiplying the highest exponent prime factors to calculate the LCM of 9078 and 9097.

LCM(9078,9097) = 2¹ × 3¹ × 17¹ × 89¹ × 11¹ × 827¹
LCM(9078,9097) = 82582566