What is the Least Common Multiple of 54036 and 54046?

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 54036 and 54046 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54036 and 54046, than apply into the LCM equation.

GCF(54036,54046) = 2
LCM(54036,54046) = ( 54036 × 54046) / 2
LCM(54036,54046) = 2920429656 / 2
LCM(54036,54046) = 1460214828

Least Common Multiple (LCM) of 54036 and 54046 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54036 and 54046. First we will calculate the prime factors of 54036 and 54046.

Prime Factorization of 54036

Prime Factorization of 54046

Now multiplying the highest exponent prime factors to calculate the LCM of 54036 and 54046.

LCM(54036,54046) = 2² × 3² × 19¹ × 79¹ × 61¹ × 443¹
LCM(54036,54046) = 1460214828