What is the Least Common Multiple of 43734 and 43751?

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 43734 and 43751 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43734 and 43751, than apply into the LCM equation.

GCF(43734,43751) = 1
LCM(43734,43751) = ( 43734 × 43751) / 1
LCM(43734,43751) = 1913406234 / 1
LCM(43734,43751) = 1913406234

Least Common Multiple (LCM) of 43734 and 43751 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43734 and 43751. First we will calculate the prime factors of 43734 and 43751.

Prime Factorization of 43734

Prime Factorization of 43751

Now multiplying the highest exponent prime factors to calculate the LCM of 43734 and 43751.

LCM(43734,43751) = 2¹ × 3¹ × 37¹ × 197¹ × 67¹ × 653¹
LCM(43734,43751) = 1913406234