What is the Least Common Multiple of 97524 and 97540?

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 97524 and 97540 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97524 and 97540, than apply into the LCM equation.

GCF(97524,97540) = 4
LCM(97524,97540) = ( 97524 × 97540) / 4
LCM(97524,97540) = 9512490960 / 4
LCM(97524,97540) = 2378122740

Least Common Multiple (LCM) of 97524 and 97540 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97524 and 97540. First we will calculate the prime factors of 97524 and 97540.

Prime Factorization of 97524

Prime Factorization of 97540

Now multiplying the highest exponent prime factors to calculate the LCM of 97524 and 97540.

LCM(97524,97540) = 2² × 3⁴ × 7¹ × 43¹ × 5¹ × 4877¹
LCM(97524,97540) = 2378122740