What is the Least Common Multiple of 97519 and 97535?

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 97519 and 97535 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97519 and 97535, than apply into the LCM equation.

GCF(97519,97535) = 1
LCM(97519,97535) = ( 97519 × 97535) / 1
LCM(97519,97535) = 9511515665 / 1
LCM(97519,97535) = 9511515665

Least Common Multiple (LCM) of 97519 and 97535 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97519 and 97535. First we will calculate the prime factors of 97519 and 97535.

Prime Factorization of 97519

Prime Factorization of 97535

Now multiplying the highest exponent prime factors to calculate the LCM of 97519 and 97535.

LCM(97519,97535) = 113¹ × 863¹ × 5¹ × 19507¹
LCM(97519,97535) = 9511515665