What is the Least Common Multiple of 97535 and 97545?

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 97535 and 97545 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97535 and 97545, than apply into the LCM equation.

GCF(97535,97545) = 5
LCM(97535,97545) = ( 97535 × 97545) / 5
LCM(97535,97545) = 9514051575 / 5
LCM(97535,97545) = 1902810315

Least Common Multiple (LCM) of 97535 and 97545 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97535 and 97545. First we will calculate the prime factors of 97535 and 97545.

Prime Factorization of 97535

Prime Factorization of 97545

Now multiplying the highest exponent prime factors to calculate the LCM of 97535 and 97545.

LCM(97535,97545) = 5¹ × 19507¹ × 3¹ × 7¹ × 929¹
LCM(97535,97545) = 1902810315