What is the Least Common Multiple of 43760 and 43772?

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 43760 and 43772 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43760 and 43772, than apply into the LCM equation.

GCF(43760,43772) = 4
LCM(43760,43772) = ( 43760 × 43772) / 4
LCM(43760,43772) = 1915462720 / 4
LCM(43760,43772) = 478865680

Least Common Multiple (LCM) of 43760 and 43772 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43760 and 43772. First we will calculate the prime factors of 43760 and 43772.

Prime Factorization of 43760

Prime Factorization of 43772

Now multiplying the highest exponent prime factors to calculate the LCM of 43760 and 43772.

LCM(43760,43772) = 2⁴ × 5¹ × 547¹ × 31¹ × 353¹
LCM(43760,43772) = 478865680