What is the Least Common Multiple of 43258 and 43268?

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 43258 and 43268 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43258 and 43268, than apply into the LCM equation.

GCF(43258,43268) = 2
LCM(43258,43268) = ( 43258 × 43268) / 2
LCM(43258,43268) = 1871687144 / 2
LCM(43258,43268) = 935843572

Least Common Multiple (LCM) of 43258 and 43268 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43258 and 43268. First we will calculate the prime factors of 43258 and 43268.

Prime Factorization of 43258

Prime Factorization of 43268

Now multiplying the highest exponent prime factors to calculate the LCM of 43258 and 43268.

LCM(43258,43268) = 2² × 43¹ × 503¹ × 29¹ × 373¹
LCM(43258,43268) = 935843572