What is the Least Common Multiple of 61014 and 61029?

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 61014 and 61029 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61014 and 61029, than apply into the LCM equation.

GCF(61014,61029) = 3
LCM(61014,61029) = ( 61014 × 61029) / 3
LCM(61014,61029) = 3723623406 / 3
LCM(61014,61029) = 1241207802

Least Common Multiple (LCM) of 61014 and 61029 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61014 and 61029. First we will calculate the prime factors of 61014 and 61029.

Prime Factorization of 61014

Prime Factorization of 61029

Now multiplying the highest exponent prime factors to calculate the LCM of 61014 and 61029.

LCM(61014,61029) = 2¹ × 3² × 10169¹ × 6781¹
LCM(61014,61029) = 1241207802