What is the Least Common Multiple of 43920 and 43927?

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 43920 and 43927 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43920 and 43927, than apply into the LCM equation.

GCF(43920,43927) = 1
LCM(43920,43927) = ( 43920 × 43927) / 1
LCM(43920,43927) = 1929273840 / 1
LCM(43920,43927) = 1929273840

Least Common Multiple (LCM) of 43920 and 43927 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43920 and 43927. First we will calculate the prime factors of 43920 and 43927.

Prime Factorization of 43920

Prime Factorization of 43927

Now multiplying the highest exponent prime factors to calculate the LCM of 43920 and 43927.

LCM(43920,43927) = 2⁴ × 3² × 5¹ × 61¹ × 13¹ × 31¹ × 109¹
LCM(43920,43927) = 1929273840