What is the Least Common Multiple of 60009 and 60029?

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 60009 and 60029 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60009 and 60029, than apply into the LCM equation.

GCF(60009,60029) = 1
LCM(60009,60029) = ( 60009 × 60029) / 1
LCM(60009,60029) = 3602280261 / 1
LCM(60009,60029) = 3602280261

Least Common Multiple (LCM) of 60009 and 60029 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60009 and 60029. First we will calculate the prime factors of 60009 and 60029.

Prime Factorization of 60009

Prime Factorization of 60029

Now multiplying the highest exponent prime factors to calculate the LCM of 60009 and 60029.

LCM(60009,60029) = 3¹ × 83¹ × 241¹ × 60029¹
LCM(60009,60029) = 3602280261