What is the Least Common Multiple of 2064 and 2074?

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 2064 and 2074 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2064 and 2074, than apply into the LCM equation.

GCF(2064,2074) = 2
LCM(2064,2074) = ( 2064 × 2074) / 2
LCM(2064,2074) = 4280736 / 2
LCM(2064,2074) = 2140368

Least Common Multiple (LCM) of 2064 and 2074 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2064 and 2074. First we will calculate the prime factors of 2064 and 2074.

Prime Factorization of 2064

Prime Factorization of 2074

Now multiplying the highest exponent prime factors to calculate the LCM of 2064 and 2074.

LCM(2064,2074) = 2⁴ × 3¹ × 43¹ × 17¹ × 61¹
LCM(2064,2074) = 2140368