What is the Least Common Multiple of 97549 and 97566?

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 97549 and 97566 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97549 and 97566, than apply into the LCM equation.

GCF(97549,97566) = 1
LCM(97549,97566) = ( 97549 × 97566) / 1
LCM(97549,97566) = 9517465734 / 1
LCM(97549,97566) = 9517465734

Least Common Multiple (LCM) of 97549 and 97566 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97549 and 97566. First we will calculate the prime factors of 97549 and 97566.

Prime Factorization of 97549

Prime Factorization of 97566

Now multiplying the highest exponent prime factors to calculate the LCM of 97549 and 97566.

LCM(97549,97566) = 97549¹ × 2¹ × 3¹ × 7¹ × 23¹ × 101¹
LCM(97549,97566) = 9517465734