What is the Least Common Multiple of 43708 and 43713?

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 43708 and 43713 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43708 and 43713, than apply into the LCM equation.

GCF(43708,43713) = 1
LCM(43708,43713) = ( 43708 × 43713) / 1
LCM(43708,43713) = 1910607804 / 1
LCM(43708,43713) = 1910607804

Least Common Multiple (LCM) of 43708 and 43713 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43708 and 43713. First we will calculate the prime factors of 43708 and 43713.

Prime Factorization of 43708

Prime Factorization of 43713

Now multiplying the highest exponent prime factors to calculate the LCM of 43708 and 43713.

LCM(43708,43713) = 2² × 7² × 223¹ × 3³ × 1619¹
LCM(43708,43713) = 1910607804