What is the Least Common Multiple of 97489 and 97509?

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 97489 and 97509 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97489 and 97509, than apply into the LCM equation.

GCF(97489,97509) = 1
LCM(97489,97509) = ( 97489 × 97509) / 1
LCM(97489,97509) = 9506054901 / 1
LCM(97489,97509) = 9506054901

Least Common Multiple (LCM) of 97489 and 97509 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97489 and 97509. First we will calculate the prime factors of 97489 and 97509.

Prime Factorization of 97489

Prime Factorization of 97509

Now multiplying the highest exponent prime factors to calculate the LCM of 97489 and 97509.

LCM(97489,97509) = 7¹ × 19¹ × 733¹ × 3¹ × 32503¹
LCM(97489,97509) = 9506054901