What is the Least Common Multiple of 4054 and 4074?

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 4054 and 4074 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4054 and 4074, than apply into the LCM equation.

GCF(4054,4074) = 2
LCM(4054,4074) = ( 4054 × 4074) / 2
LCM(4054,4074) = 16515996 / 2
LCM(4054,4074) = 8257998

Least Common Multiple (LCM) of 4054 and 4074 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4054 and 4074. First we will calculate the prime factors of 4054 and 4074.

Prime Factorization of 4054

Prime Factorization of 4074

Now multiplying the highest exponent prime factors to calculate the LCM of 4054 and 4074.

LCM(4054,4074) = 2¹ × 2027¹ × 3¹ × 7¹ × 97¹
LCM(4054,4074) = 8257998