What is the Least Common Multiple of 43744 and 43760?

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 43744 and 43760 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43744 and 43760, than apply into the LCM equation.

GCF(43744,43760) = 16
LCM(43744,43760) = ( 43744 × 43760) / 16
LCM(43744,43760) = 1914237440 / 16
LCM(43744,43760) = 119639840

Least Common Multiple (LCM) of 43744 and 43760 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43744 and 43760. First we will calculate the prime factors of 43744 and 43760.

Prime Factorization of 43744

Prime Factorization of 43760

Now multiplying the highest exponent prime factors to calculate the LCM of 43744 and 43760.

LCM(43744,43760) = 2⁵ × 1367¹ × 5¹ × 547¹
LCM(43744,43760) = 119639840