What is the Least Common Multiple of 6046 and 6066?

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 6046 and 6066 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6046 and 6066, than apply into the LCM equation.

GCF(6046,6066) = 2
LCM(6046,6066) = ( 6046 × 6066) / 2
LCM(6046,6066) = 36675036 / 2
LCM(6046,6066) = 18337518

Least Common Multiple (LCM) of 6046 and 6066 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6046 and 6066. First we will calculate the prime factors of 6046 and 6066.

Prime Factorization of 6046

Prime Factorization of 6066

Now multiplying the highest exponent prime factors to calculate the LCM of 6046 and 6066.

LCM(6046,6066) = 2¹ × 3023¹ × 3² × 337¹
LCM(6046,6066) = 18337518