GCF and LCM Calculator Logo

What is the Least Common Multiple of 66121 and 66140?

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 66121 and 66140 is 4373242940.

LCM(66121,66140) = 4373242940

LCM Calculator and
and

Least Common Multiple of 66121 and 66140 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66121 and 66140, than apply into the LCM equation.

GCF(66121,66140) = 1
LCM(66121,66140) = ( 66121 × 66140) / 1
LCM(66121,66140) = 4373242940 / 1
LCM(66121,66140) = 4373242940

Least Common Multiple (LCM) of 66121 and 66140 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66121 and 66140. First we will calculate the prime factors of 66121 and 66140.

Prime Factorization of 66121

Prime factors of 66121 are 11, 6011. Prime factorization of 66121 in exponential form is:

66121 = 111 × 60111

Prime Factorization of 66140

Prime factors of 66140 are 2, 5, 3307. Prime factorization of 66140 in exponential form is:

66140 = 22 × 51 × 33071

Now multiplying the highest exponent prime factors to calculate the LCM of 66121 and 66140.

LCM(66121,66140) = 111 × 60111 × 22 × 51 × 33071
LCM(66121,66140) = 4373242940