What is the Least Common Multiple of 97507 and 97519?

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 97507 and 97519 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97507 and 97519, than apply into the LCM equation.

GCF(97507,97519) = 1
LCM(97507,97519) = ( 97507 × 97519) / 1
LCM(97507,97519) = 9508785133 / 1
LCM(97507,97519) = 9508785133

Least Common Multiple (LCM) of 97507 and 97519 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97507 and 97519. First we will calculate the prime factors of 97507 and 97519.

Prime Factorization of 97507

Prime Factorization of 97519

Now multiplying the highest exponent prime factors to calculate the LCM of 97507 and 97519.

LCM(97507,97519) = 281¹ × 347¹ × 113¹ × 863¹
LCM(97507,97519) = 9508785133