What is the Least Common Multiple of 67114 and 67128?

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 67114 and 67128 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67114 and 67128, than apply into the LCM equation.

GCF(67114,67128) = 2
LCM(67114,67128) = ( 67114 × 67128) / 2
LCM(67114,67128) = 4505228592 / 2
LCM(67114,67128) = 2252614296

Least Common Multiple (LCM) of 67114 and 67128 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67114 and 67128. First we will calculate the prime factors of 67114 and 67128.

Prime Factorization of 67114

Prime Factorization of 67128

Now multiplying the highest exponent prime factors to calculate the LCM of 67114 and 67128.

LCM(67114,67128) = 2³ × 23¹ × 1459¹ × 3¹ × 2797¹
LCM(67114,67128) = 2252614296