What is the Least Common Multiple of 97554 and 97569?

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 97554 and 97569 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97554 and 97569, than apply into the LCM equation.

GCF(97554,97569) = 3
LCM(97554,97569) = ( 97554 × 97569) / 3
LCM(97554,97569) = 9518246226 / 3
LCM(97554,97569) = 3172748742

Least Common Multiple (LCM) of 97554 and 97569 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97554 and 97569. First we will calculate the prime factors of 97554 and 97569.

Prime Factorization of 97554

Prime Factorization of 97569

Now multiplying the highest exponent prime factors to calculate the LCM of 97554 and 97569.

LCM(97554,97569) = 2¹ × 3² × 71¹ × 229¹ × 37¹ × 293¹
LCM(97554,97569) = 3172748742