What is the Least Common Multiple of 43258 and 43262?

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 43262 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 43262, than apply into the LCM equation.

GCF(43258,43262) = 2
LCM(43258,43262) = ( 43258 × 43262) / 2
LCM(43258,43262) = 1871427596 / 2
LCM(43258,43262) = 935713798

Least Common Multiple (LCM) of 43258 and 43262 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43258 and 43262. First we will calculate the prime factors of 43258 and 43262.

Prime Factorization of 43258

Prime Factorization of 43262

Now multiplying the highest exponent prime factors to calculate the LCM of 43258 and 43262.

LCM(43258,43262) = 2¹ × 43¹ × 503¹ × 97¹ × 223¹
LCM(43258,43262) = 935713798