What is the Least Common Multiple of 8054 and 8074?

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 8054 and 8074 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8054 and 8074, than apply into the LCM equation.

GCF(8054,8074) = 2
LCM(8054,8074) = ( 8054 × 8074) / 2
LCM(8054,8074) = 65027996 / 2
LCM(8054,8074) = 32513998

Least Common Multiple (LCM) of 8054 and 8074 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8054 and 8074. First we will calculate the prime factors of 8054 and 8074.

Prime Factorization of 8054

Prime Factorization of 8074

Now multiplying the highest exponent prime factors to calculate the LCM of 8054 and 8074.

LCM(8054,8074) = 2¹ × 4027¹ × 11¹ × 367¹
LCM(8054,8074) = 32513998