What is the Least Common Multiple of 4046 and 4054?

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 4046 and 4054 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4046 and 4054, than apply into the LCM equation.

GCF(4046,4054) = 2
LCM(4046,4054) = ( 4046 × 4054) / 2
LCM(4046,4054) = 16402484 / 2
LCM(4046,4054) = 8201242

Least Common Multiple (LCM) of 4046 and 4054 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4046 and 4054. First we will calculate the prime factors of 4046 and 4054.

Prime Factorization of 4046

Prime Factorization of 4054

Now multiplying the highest exponent prime factors to calculate the LCM of 4046 and 4054.

LCM(4046,4054) = 2¹ × 7¹ × 17² × 2027¹
LCM(4046,4054) = 8201242