What is the Least Common Multiple of 43654 and 43673?

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 43654 and 43673 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43654 and 43673, than apply into the LCM equation.

GCF(43654,43673) = 1
LCM(43654,43673) = ( 43654 × 43673) / 1
LCM(43654,43673) = 1906501142 / 1
LCM(43654,43673) = 1906501142

Least Common Multiple (LCM) of 43654 and 43673 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43654 and 43673. First we will calculate the prime factors of 43654 and 43673.

Prime Factorization of 43654

Prime Factorization of 43673

Now multiplying the highest exponent prime factors to calculate the LCM of 43654 and 43673.

LCM(43654,43673) = 2¹ × 13¹ × 23¹ × 73¹ × 7¹ × 17¹ × 367¹
LCM(43654,43673) = 1906501142