What is the Least Common Multiple of 43905 and 43920?

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 43905 and 43920 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43905 and 43920, than apply into the LCM equation.

GCF(43905,43920) = 15
LCM(43905,43920) = ( 43905 × 43920) / 15
LCM(43905,43920) = 1928307600 / 15
LCM(43905,43920) = 128553840

Least Common Multiple (LCM) of 43905 and 43920 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43905 and 43920. First we will calculate the prime factors of 43905 and 43920.

Prime Factorization of 43905

Prime Factorization of 43920

Now multiplying the highest exponent prime factors to calculate the LCM of 43905 and 43920.

LCM(43905,43920) = 3² × 5¹ × 2927¹ × 2⁴ × 61¹
LCM(43905,43920) = 128553840