GCF and LCM Calculator Logo

What is the Least Common Multiple of 66006 and 66023?

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 (LCM) of 66006 and 66023 is 4357914138.

LCM(66006,66023) = 4357914138

LCM Calculator and
and

Least Common Multiple of 66006 and 66023 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66006 and 66023, than apply into the LCM equation.

GCF(66006,66023) = 1
LCM(66006,66023) = ( 66006 × 66023) / 1
LCM(66006,66023) = 4357914138 / 1
LCM(66006,66023) = 4357914138

Least Common Multiple (LCM) of 66006 and 66023 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66006 and 66023. First we will calculate the prime factors of 66006 and 66023.

Prime Factorization of 66006

Prime factors of 66006 are 2, 3, 19, 193. Prime factorization of 66006 in exponential form is:

66006 = 21 × 32 × 191 × 1931

Prime Factorization of 66023

Prime factors of 66023 are 103, 641. Prime factorization of 66023 in exponential form is:

66023 = 1031 × 6411

Now multiplying the highest exponent prime factors to calculate the LCM of 66006 and 66023.

LCM(66006,66023) = 21 × 32 × 191 × 1931 × 1031 × 6411
LCM(66006,66023) = 4357914138