What is the Least Common Multiple of 4074 and 4080?

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 4074 and 4080 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4074 and 4080, than apply into the LCM equation.

GCF(4074,4080) = 6
LCM(4074,4080) = ( 4074 × 4080) / 6
LCM(4074,4080) = 16621920 / 6
LCM(4074,4080) = 2770320

Least Common Multiple (LCM) of 4074 and 4080 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4074 and 4080. First we will calculate the prime factors of 4074 and 4080.

Prime Factorization of 4074

Prime Factorization of 4080

Now multiplying the highest exponent prime factors to calculate the LCM of 4074 and 4080.

LCM(4074,4080) = 2⁴ × 3¹ × 7¹ × 97¹ × 5¹ × 17¹
LCM(4074,4080) = 2770320