What is the Least Common Multiple of 8034 and 8054?

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 8034 and 8054 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8034 and 8054, than apply into the LCM equation.

GCF(8034,8054) = 2
LCM(8034,8054) = ( 8034 × 8054) / 2
LCM(8034,8054) = 64705836 / 2
LCM(8034,8054) = 32352918

Least Common Multiple (LCM) of 8034 and 8054 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8034 and 8054. First we will calculate the prime factors of 8034 and 8054.

Prime Factorization of 8034

Prime Factorization of 8054

Now multiplying the highest exponent prime factors to calculate the LCM of 8034 and 8054.

LCM(8034,8054) = 2¹ × 3¹ × 13¹ × 103¹ × 4027¹
LCM(8034,8054) = 32352918