What is the Least Common Multiple of 43728 and 43741?

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 43728 and 43741 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43728 and 43741, than apply into the LCM equation.

GCF(43728,43741) = 1
LCM(43728,43741) = ( 43728 × 43741) / 1
LCM(43728,43741) = 1912706448 / 1
LCM(43728,43741) = 1912706448

Least Common Multiple (LCM) of 43728 and 43741 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43728 and 43741. First we will calculate the prime factors of 43728 and 43741.

Prime Factorization of 43728

Prime Factorization of 43741

Now multiplying the highest exponent prime factors to calculate the LCM of 43728 and 43741.

LCM(43728,43741) = 2⁴ × 3¹ × 911¹ × 17¹ × 31¹ × 83¹
LCM(43728,43741) = 1912706448