What is the Least Common Multiple of 4074 and 4083?

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 4083 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 4083, than apply into the LCM equation.

GCF(4074,4083) = 3
LCM(4074,4083) = ( 4074 × 4083) / 3
LCM(4074,4083) = 16634142 / 3
LCM(4074,4083) = 5544714

Least Common Multiple (LCM) of 4074 and 4083 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4074 and 4083. First we will calculate the prime factors of 4074 and 4083.

Prime Factorization of 4074

Prime Factorization of 4083

Now multiplying the highest exponent prime factors to calculate the LCM of 4074 and 4083.

LCM(4074,4083) = 2¹ × 3¹ × 7¹ × 97¹ × 1361¹
LCM(4074,4083) = 5544714