What is the Least Common Multiple of 66114 and 66128?

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 66114 and 66128 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66114 and 66128, than apply into the LCM equation.

GCF(66114,66128) = 2
LCM(66114,66128) = ( 66114 × 66128) / 2
LCM(66114,66128) = 4371986592 / 2
LCM(66114,66128) = 2185993296

Least Common Multiple (LCM) of 66114 and 66128 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66114 and 66128. First we will calculate the prime factors of 66114 and 66128.

Prime Factorization of 66114

Prime Factorization of 66128

Now multiplying the highest exponent prime factors to calculate the LCM of 66114 and 66128.

LCM(66114,66128) = 2⁴ × 3² × 3673¹ × 4133¹
LCM(66114,66128) = 2185993296