What is the Least Common Multiple of 97489 and 97496?

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 97496 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 97496, than apply into the LCM equation.

GCF(97489,97496) = 7
LCM(97489,97496) = ( 97489 × 97496) / 7
LCM(97489,97496) = 9504787544 / 7
LCM(97489,97496) = 1357826792

Least Common Multiple (LCM) of 97489 and 97496 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97489 and 97496. First we will calculate the prime factors of 97489 and 97496.

Prime Factorization of 97489

Prime Factorization of 97496

Now multiplying the highest exponent prime factors to calculate the LCM of 97489 and 97496.

LCM(97489,97496) = 7¹ × 19¹ × 733¹ × 2³ × 1741¹
LCM(97489,97496) = 1357826792