What is the Least Common Multiple of 43932 and 43947?

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 43932 and 43947 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43932 and 43947, than apply into the LCM equation.

GCF(43932,43947) = 3
LCM(43932,43947) = ( 43932 × 43947) / 3
LCM(43932,43947) = 1930679604 / 3
LCM(43932,43947) = 643559868

Least Common Multiple (LCM) of 43932 and 43947 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43932 and 43947. First we will calculate the prime factors of 43932 and 43947.

Prime Factorization of 43932

Prime Factorization of 43947

Now multiplying the highest exponent prime factors to calculate the LCM of 43932 and 43947.

LCM(43932,43947) = 2² × 3² × 7¹ × 523¹ × 19¹ × 257¹
LCM(43932,43947) = 643559868