What is the Least Common Multiple of 60897 and 60909?

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 60897 and 60909 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60897 and 60909, than apply into the LCM equation.

GCF(60897,60909) = 3
LCM(60897,60909) = ( 60897 × 60909) / 3
LCM(60897,60909) = 3709175373 / 3
LCM(60897,60909) = 1236391791

Least Common Multiple (LCM) of 60897 and 60909 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60897 and 60909. First we will calculate the prime factors of 60897 and 60909.

Prime Factorization of 60897

Prime Factorization of 60909

Now multiplying the highest exponent prime factors to calculate the LCM of 60897 and 60909.

LCM(60897,60909) = 3¹ × 53¹ × 383¹ × 79¹ × 257¹
LCM(60897,60909) = 1236391791