What is the Least Common Multiple of 43625 and 43642?

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 43625 and 43642 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43625 and 43642, than apply into the LCM equation.

GCF(43625,43642) = 1
LCM(43625,43642) = ( 43625 × 43642) / 1
LCM(43625,43642) = 1903882250 / 1
LCM(43625,43642) = 1903882250

Least Common Multiple (LCM) of 43625 and 43642 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43625 and 43642. First we will calculate the prime factors of 43625 and 43642.

Prime Factorization of 43625

Prime Factorization of 43642

Now multiplying the highest exponent prime factors to calculate the LCM of 43625 and 43642.

LCM(43625,43642) = 5³ × 349¹ × 2¹ × 21821¹
LCM(43625,43642) = 1903882250