What is the Least Common Multiple of 43100 and 43105?

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 43100 and 43105 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43100 and 43105, than apply into the LCM equation.

GCF(43100,43105) = 5
LCM(43100,43105) = ( 43100 × 43105) / 5
LCM(43100,43105) = 1857825500 / 5
LCM(43100,43105) = 371565100

Least Common Multiple (LCM) of 43100 and 43105 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43100 and 43105. First we will calculate the prime factors of 43100 and 43105.

Prime Factorization of 43100

Prime Factorization of 43105

Now multiplying the highest exponent prime factors to calculate the LCM of 43100 and 43105.

LCM(43100,43105) = 2² × 5² × 431¹ × 37¹ × 233¹
LCM(43100,43105) = 371565100