What is the Least Common Multiple of 43764 and 43781?

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 43764 and 43781 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43764 and 43781, than apply into the LCM equation.

GCF(43764,43781) = 1
LCM(43764,43781) = ( 43764 × 43781) / 1
LCM(43764,43781) = 1916031684 / 1
LCM(43764,43781) = 1916031684

Least Common Multiple (LCM) of 43764 and 43781 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43764 and 43781. First we will calculate the prime factors of 43764 and 43781.

Prime Factorization of 43764

Prime Factorization of 43781

Now multiplying the highest exponent prime factors to calculate the LCM of 43764 and 43781.

LCM(43764,43781) = 2² × 3¹ × 7¹ × 521¹ × 43781¹
LCM(43764,43781) = 1916031684