What is the Least Common Multiple of 43452 and 43462?

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 43452 and 43462 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43452 and 43462, than apply into the LCM equation.

GCF(43452,43462) = 2
LCM(43452,43462) = ( 43452 × 43462) / 2
LCM(43452,43462) = 1888510824 / 2
LCM(43452,43462) = 944255412

Least Common Multiple (LCM) of 43452 and 43462 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43452 and 43462. First we will calculate the prime factors of 43452 and 43462.

Prime Factorization of 43452

Prime Factorization of 43462

Now multiplying the highest exponent prime factors to calculate the LCM of 43452 and 43462.

LCM(43452,43462) = 2² × 3² × 17¹ × 71¹ × 31¹ × 701¹
LCM(43452,43462) = 944255412