What is the Least Common Multiple of 43020 and 43038?

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 43020 and 43038 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43020 and 43038, than apply into the LCM equation.

GCF(43020,43038) = 18
LCM(43020,43038) = ( 43020 × 43038) / 18
LCM(43020,43038) = 1851494760 / 18
LCM(43020,43038) = 102860820

Least Common Multiple (LCM) of 43020 and 43038 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43020 and 43038. First we will calculate the prime factors of 43020 and 43038.

Prime Factorization of 43020

Prime Factorization of 43038

Now multiplying the highest exponent prime factors to calculate the LCM of 43020 and 43038.

LCM(43020,43038) = 2² × 3³ × 5¹ × 239¹ × 797¹
LCM(43020,43038) = 102860820