What is the Least Common Multiple of 59994 and 60009?

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 59994 and 60009 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59994 and 60009, than apply into the LCM equation.

GCF(59994,60009) = 3
LCM(59994,60009) = ( 59994 × 60009) / 3
LCM(59994,60009) = 3600179946 / 3
LCM(59994,60009) = 1200059982

Least Common Multiple (LCM) of 59994 and 60009 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59994 and 60009. First we will calculate the prime factors of 59994 and 60009.

Prime Factorization of 59994

Prime Factorization of 60009

Now multiplying the highest exponent prime factors to calculate the LCM of 59994 and 60009.

LCM(59994,60009) = 2¹ × 3³ × 11¹ × 101¹ × 83¹ × 241¹
LCM(59994,60009) = 1200059982