What is the Least Common Multiple of 3046 and 3066?

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 3046 and 3066 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3046 and 3066, than apply into the LCM equation.

GCF(3046,3066) = 2
LCM(3046,3066) = ( 3046 × 3066) / 2
LCM(3046,3066) = 9339036 / 2
LCM(3046,3066) = 4669518

Least Common Multiple (LCM) of 3046 and 3066 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3046 and 3066. First we will calculate the prime factors of 3046 and 3066.

Prime Factorization of 3046

Prime Factorization of 3066

Now multiplying the highest exponent prime factors to calculate the LCM of 3046 and 3066.

LCM(3046,3066) = 2¹ × 1523¹ × 3¹ × 7¹ × 73¹
LCM(3046,3066) = 4669518