What is the Least Common Multiple of 97566 and 97573?

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 97566 and 97573 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97566 and 97573, than apply into the LCM equation.

GCF(97566,97573) = 7
LCM(97566,97573) = ( 97566 × 97573) / 7
LCM(97566,97573) = 9519807318 / 7
LCM(97566,97573) = 1359972474

Least Common Multiple (LCM) of 97566 and 97573 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97566 and 97573. First we will calculate the prime factors of 97566 and 97573.

Prime Factorization of 97566

Prime Factorization of 97573

Now multiplying the highest exponent prime factors to calculate the LCM of 97566 and 97573.

LCM(97566,97573) = 2¹ × 3¹ × 7¹ × 23¹ × 101¹ × 53¹ × 263¹
LCM(97566,97573) = 1359972474