What is the Least Common Multiple of 43905 and 43917?

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 43917 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 43917, than apply into the LCM equation.

GCF(43905,43917) = 3
LCM(43905,43917) = ( 43905 × 43917) / 3
LCM(43905,43917) = 1928175885 / 3
LCM(43905,43917) = 642725295

Least Common Multiple (LCM) of 43905 and 43917 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43905 and 43917. First we will calculate the prime factors of 43905 and 43917.

Prime Factorization of 43905

Prime Factorization of 43917

Now multiplying the highest exponent prime factors to calculate the LCM of 43905 and 43917.

LCM(43905,43917) = 3¹ × 5¹ × 2927¹ × 14639¹
LCM(43905,43917) = 642725295