What is the Least Common Multiple of 43641 and 43654?

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 43641 and 43654 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43641 and 43654, than apply into the LCM equation.

GCF(43641,43654) = 13
LCM(43641,43654) = ( 43641 × 43654) / 13
LCM(43641,43654) = 1905104214 / 13
LCM(43641,43654) = 146546478

Least Common Multiple (LCM) of 43641 and 43654 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43641 and 43654. First we will calculate the prime factors of 43641 and 43654.

Prime Factorization of 43641

Prime Factorization of 43654

Now multiplying the highest exponent prime factors to calculate the LCM of 43641 and 43654.

LCM(43641,43654) = 3² × 13¹ × 373¹ × 2¹ × 23¹ × 73¹
LCM(43641,43654) = 146546478