What is the Least Common Multiple of 97578 and 97585?

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 97578 and 97585 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97578 and 97585, than apply into the LCM equation.

GCF(97578,97585) = 1
LCM(97578,97585) = ( 97578 × 97585) / 1
LCM(97578,97585) = 9522149130 / 1
LCM(97578,97585) = 9522149130

Least Common Multiple (LCM) of 97578 and 97585 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97578 and 97585. First we will calculate the prime factors of 97578 and 97585.

Prime Factorization of 97578

Prime Factorization of 97585

Now multiplying the highest exponent prime factors to calculate the LCM of 97578 and 97585.

LCM(97578,97585) = 2¹ × 3³ × 13¹ × 139¹ × 5¹ × 29¹ × 673¹
LCM(97578,97585) = 9522149130