What is the Least Common Multiple of 97549 and 97565?

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 97565 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 97565, than apply into the LCM equation.

GCF(97549,97565) = 1
LCM(97549,97565) = ( 97549 × 97565) / 1
LCM(97549,97565) = 9517368185 / 1
LCM(97549,97565) = 9517368185

Least Common Multiple (LCM) of 97549 and 97565 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97549 and 97565. First we will calculate the prime factors of 97549 and 97565.

Prime Factorization of 97549

Prime Factorization of 97565

Now multiplying the highest exponent prime factors to calculate the LCM of 97549 and 97565.

LCM(97549,97565) = 97549¹ × 5¹ × 13¹ × 19¹ × 79¹
LCM(97549,97565) = 9517368185