What is the Least Common Multiple of 43678 and 43684?

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 43684 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 43684, than apply into the LCM equation.

GCF(43678,43684) = 2
LCM(43678,43684) = ( 43678 × 43684) / 2
LCM(43678,43684) = 1908029752 / 2
LCM(43678,43684) = 954014876

Least Common Multiple (LCM) of 43678 and 43684 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43678 and 43684. First we will calculate the prime factors of 43678 and 43684.

Prime Factorization of 43678

Prime Factorization of 43684

Now multiplying the highest exponent prime factors to calculate the LCM of 43678 and 43684.

LCM(43678,43684) = 2² × 21839¹ × 67¹ × 163¹
LCM(43678,43684) = 954014876