What is the Least Common Multiple of 43046 and 43054?

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 43046 and 43054 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43046 and 43054, than apply into the LCM equation.

GCF(43046,43054) = 2
LCM(43046,43054) = ( 43046 × 43054) / 2
LCM(43046,43054) = 1853302484 / 2
LCM(43046,43054) = 926651242

Least Common Multiple (LCM) of 43046 and 43054 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43046 and 43054. First we will calculate the prime factors of 43046 and 43054.

Prime Factorization of 43046

Prime Factorization of 43054

Now multiplying the highest exponent prime factors to calculate the LCM of 43046 and 43054.

LCM(43046,43054) = 2¹ × 21523¹ × 11¹ × 19¹ × 103¹
LCM(43046,43054) = 926651242