What is the Least Common Multiple of 43678 and 43698?

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 43678 and 43698 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43678 and 43698, than apply into the LCM equation.

GCF(43678,43698) = 2
LCM(43678,43698) = ( 43678 × 43698) / 2
LCM(43678,43698) = 1908641244 / 2
LCM(43678,43698) = 954320622

Least Common Multiple (LCM) of 43678 and 43698 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43678 and 43698. First we will calculate the prime factors of 43678 and 43698.

Prime Factorization of 43678

Prime Factorization of 43698

Now multiplying the highest exponent prime factors to calculate the LCM of 43678 and 43698.

LCM(43678,43698) = 2¹ × 21839¹ × 3¹ × 7283¹
LCM(43678,43698) = 954320622