GCF and LCM Calculator Logo

What is the Least Common Multiple of 66076 and 66095?

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 66076 and 66095 is 4367293220.

LCM(66076,66095) = 4367293220

LCM Calculator and
and

Least Common Multiple of 66076 and 66095 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66076 and 66095, than apply into the LCM equation.

GCF(66076,66095) = 1
LCM(66076,66095) = ( 66076 × 66095) / 1
LCM(66076,66095) = 4367293220 / 1
LCM(66076,66095) = 4367293220

Least Common Multiple (LCM) of 66076 and 66095 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66076 and 66095. First we will calculate the prime factors of 66076 and 66095.

Prime Factorization of 66076

Prime factors of 66076 are 2, 16519. Prime factorization of 66076 in exponential form is:

66076 = 22 × 165191

Prime Factorization of 66095

Prime factors of 66095 are 5, 13219. Prime factorization of 66095 in exponential form is:

66095 = 51 × 132191

Now multiplying the highest exponent prime factors to calculate the LCM of 66076 and 66095.

LCM(66076,66095) = 22 × 165191 × 51 × 132191
LCM(66076,66095) = 4367293220