What is the Least Common Multiple of 97515 and 97524?

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 97515 and 97524 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97515 and 97524, than apply into the LCM equation.

GCF(97515,97524) = 9
LCM(97515,97524) = ( 97515 × 97524) / 9
LCM(97515,97524) = 9510052860 / 9
LCM(97515,97524) = 1056672540

Least Common Multiple (LCM) of 97515 and 97524 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97515 and 97524. First we will calculate the prime factors of 97515 and 97524.

Prime Factorization of 97515

Prime Factorization of 97524

Now multiplying the highest exponent prime factors to calculate the LCM of 97515 and 97524.

LCM(97515,97524) = 3⁴ × 5¹ × 11¹ × 197¹ × 2² × 7¹ × 43¹
LCM(97515,97524) = 1056672540