What is the Least Common Multiple of 43180 and 43197?

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 43180 and 43197 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43180 and 43197, than apply into the LCM equation.

GCF(43180,43197) = 17
LCM(43180,43197) = ( 43180 × 43197) / 17
LCM(43180,43197) = 1865246460 / 17
LCM(43180,43197) = 109720380

Least Common Multiple (LCM) of 43180 and 43197 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43180 and 43197. First we will calculate the prime factors of 43180 and 43197.

Prime Factorization of 43180

Prime Factorization of 43197

Now multiplying the highest exponent prime factors to calculate the LCM of 43180 and 43197.

LCM(43180,43197) = 2² × 5¹ × 17¹ × 127¹ × 3¹ × 7¹ × 11²
LCM(43180,43197) = 109720380