What is the Least Common Multiple of 97509 and 97517?

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 97509 and 97517 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97509 and 97517, than apply into the LCM equation.

GCF(97509,97517) = 1
LCM(97509,97517) = ( 97509 × 97517) / 1
LCM(97509,97517) = 9508785153 / 1
LCM(97509,97517) = 9508785153

Least Common Multiple (LCM) of 97509 and 97517 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97509 and 97517. First we will calculate the prime factors of 97509 and 97517.

Prime Factorization of 97509

Prime Factorization of 97517

Now multiplying the highest exponent prime factors to calculate the LCM of 97509 and 97517.

LCM(97509,97517) = 3¹ × 32503¹ × 7¹ × 13931¹
LCM(97509,97517) = 9508785153