What is the Least Common Multiple of 43761 and 43767?

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 43761 and 43767 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43761 and 43767, than apply into the LCM equation.

GCF(43761,43767) = 3
LCM(43761,43767) = ( 43761 × 43767) / 3
LCM(43761,43767) = 1915287687 / 3
LCM(43761,43767) = 638429229

Least Common Multiple (LCM) of 43761 and 43767 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43761 and 43767. First we will calculate the prime factors of 43761 and 43767.

Prime Factorization of 43761

Prime Factorization of 43767

Now multiplying the highest exponent prime factors to calculate the LCM of 43761 and 43767.

LCM(43761,43767) = 3³ × 29¹ × 503¹ × 1621¹
LCM(43761,43767) = 638429229