What is the Least Common Multiple of 60297 and 60306?

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 60297 and 60306 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60297 and 60306, than apply into the LCM equation.

GCF(60297,60306) = 3
LCM(60297,60306) = ( 60297 × 60306) / 3
LCM(60297,60306) = 3636270882 / 3
LCM(60297,60306) = 1212090294

Least Common Multiple (LCM) of 60297 and 60306 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60297 and 60306. First we will calculate the prime factors of 60297 and 60306.

Prime Factorization of 60297

Prime Factorization of 60306

Now multiplying the highest exponent prime factors to calculate the LCM of 60297 and 60306.

LCM(60297,60306) = 3¹ × 101¹ × 199¹ × 2¹ × 19¹ × 23²
LCM(60297,60306) = 1212090294