What is the Least Common Multiple of 43670 and 43687?

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 43670 and 43687 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43670 and 43687, than apply into the LCM equation.

GCF(43670,43687) = 1
LCM(43670,43687) = ( 43670 × 43687) / 1
LCM(43670,43687) = 1907811290 / 1
LCM(43670,43687) = 1907811290

Least Common Multiple (LCM) of 43670 and 43687 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43670 and 43687. First we will calculate the prime factors of 43670 and 43687.

Prime Factorization of 43670

Prime Factorization of 43687

Now multiplying the highest exponent prime factors to calculate the LCM of 43670 and 43687.

LCM(43670,43687) = 2¹ × 5¹ × 11¹ × 397¹ × 7¹ × 79²
LCM(43670,43687) = 1907811290