What is the Least Common Multiple of 43080 and 43090?

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 43080 and 43090 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43080 and 43090, than apply into the LCM equation.

GCF(43080,43090) = 10
LCM(43080,43090) = ( 43080 × 43090) / 10
LCM(43080,43090) = 1856317200 / 10
LCM(43080,43090) = 185631720

Least Common Multiple (LCM) of 43080 and 43090 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43080 and 43090. First we will calculate the prime factors of 43080 and 43090.

Prime Factorization of 43080

Prime Factorization of 43090

Now multiplying the highest exponent prime factors to calculate the LCM of 43080 and 43090.

LCM(43080,43090) = 2³ × 3¹ × 5¹ × 359¹ × 31¹ × 139¹
LCM(43080,43090) = 185631720