What is the Least Common Multiple of 43088 and 43100?

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 43088 and 43100 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43088 and 43100, than apply into the LCM equation.

GCF(43088,43100) = 4
LCM(43088,43100) = ( 43088 × 43100) / 4
LCM(43088,43100) = 1857092800 / 4
LCM(43088,43100) = 464273200

Least Common Multiple (LCM) of 43088 and 43100 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43088 and 43100. First we will calculate the prime factors of 43088 and 43100.

Prime Factorization of 43088

Prime Factorization of 43100

Now multiplying the highest exponent prime factors to calculate the LCM of 43088 and 43100.

LCM(43088,43100) = 2⁴ × 2693¹ × 5² × 431¹
LCM(43088,43100) = 464273200