What is the Least Common Multiple of 43064 and 43074?

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 43064 and 43074 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43064 and 43074, than apply into the LCM equation.

GCF(43064,43074) = 2
LCM(43064,43074) = ( 43064 × 43074) / 2
LCM(43064,43074) = 1854938736 / 2
LCM(43064,43074) = 927469368

Least Common Multiple (LCM) of 43064 and 43074 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43064 and 43074. First we will calculate the prime factors of 43064 and 43074.

Prime Factorization of 43064

Prime Factorization of 43074

Now multiplying the highest exponent prime factors to calculate the LCM of 43064 and 43074.

LCM(43064,43074) = 2³ × 7¹ × 769¹ × 3² × 2393¹
LCM(43064,43074) = 927469368