What is the Least Common Multiple of 97524 and 97538?

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 97538 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 97538, than apply into the LCM equation.

GCF(97524,97538) = 14
LCM(97524,97538) = ( 97524 × 97538) / 14
LCM(97524,97538) = 9512295912 / 14
LCM(97524,97538) = 679449708

Least Common Multiple (LCM) of 97524 and 97538 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97524 and 97538. First we will calculate the prime factors of 97524 and 97538.

Prime Factorization of 97524

Prime Factorization of 97538

Now multiplying the highest exponent prime factors to calculate the LCM of 97524 and 97538.

LCM(97524,97538) = 2² × 3⁴ × 7¹ × 43¹ × 6967¹
LCM(97524,97538) = 679449708