What is the Least Common Multiple of 60414 and 60423?

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 60414 and 60423 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60414 and 60423, than apply into the LCM equation.

GCF(60414,60423) = 3
LCM(60414,60423) = ( 60414 × 60423) / 3
LCM(60414,60423) = 3650395122 / 3
LCM(60414,60423) = 1216798374

Least Common Multiple (LCM) of 60414 and 60423 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60414 and 60423. First we will calculate the prime factors of 60414 and 60423.

Prime Factorization of 60414

Prime Factorization of 60423

Now multiplying the highest exponent prime factors to calculate the LCM of 60414 and 60423.

LCM(60414,60423) = 2¹ × 3¹ × 10069¹ × 11¹ × 1831¹
LCM(60414,60423) = 1216798374