What is the Least Common Multiple of 43659 and 43677?

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 43659 and 43677 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43659 and 43677, than apply into the LCM equation.

GCF(43659,43677) = 9
LCM(43659,43677) = ( 43659 × 43677) / 9
LCM(43659,43677) = 1906894143 / 9
LCM(43659,43677) = 211877127

Least Common Multiple (LCM) of 43659 and 43677 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43659 and 43677. First we will calculate the prime factors of 43659 and 43677.

Prime Factorization of 43659

Prime Factorization of 43677

Now multiplying the highest exponent prime factors to calculate the LCM of 43659 and 43677.

LCM(43659,43677) = 3⁴ × 7² × 11¹ × 23¹ × 211¹
LCM(43659,43677) = 211877127