What is the Least Common Multiple of 43722 and 43734?

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 43722 and 43734 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43722 and 43734, than apply into the LCM equation.

GCF(43722,43734) = 6
LCM(43722,43734) = ( 43722 × 43734) / 6
LCM(43722,43734) = 1912137948 / 6
LCM(43722,43734) = 318689658

Least Common Multiple (LCM) of 43722 and 43734 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43722 and 43734. First we will calculate the prime factors of 43722 and 43734.

Prime Factorization of 43722

Prime Factorization of 43734

Now multiplying the highest exponent prime factors to calculate the LCM of 43722 and 43734.

LCM(43722,43734) = 2¹ × 3² × 7¹ × 347¹ × 37¹ × 197¹
LCM(43722,43734) = 318689658