GCF and LCM Calculator Logo

What is the Least Common Multiple of 66276 and 66292?

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 66276 and 66292 is 1098392148.

LCM(66276,66292) = 1098392148

LCM Calculator and
and

Least Common Multiple of 66276 and 66292 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66276 and 66292, than apply into the LCM equation.

GCF(66276,66292) = 4
LCM(66276,66292) = ( 66276 × 66292) / 4
LCM(66276,66292) = 4393568592 / 4
LCM(66276,66292) = 1098392148

Least Common Multiple (LCM) of 66276 and 66292 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66276 and 66292. First we will calculate the prime factors of 66276 and 66292.

Prime Factorization of 66276

Prime factors of 66276 are 2, 3, 7, 263. Prime factorization of 66276 in exponential form is:

66276 = 22 × 32 × 71 × 2631

Prime Factorization of 66292

Prime factors of 66292 are 2, 16573. Prime factorization of 66292 in exponential form is:

66292 = 22 × 165731

Now multiplying the highest exponent prime factors to calculate the LCM of 66276 and 66292.

LCM(66276,66292) = 22 × 32 × 71 × 2631 × 165731
LCM(66276,66292) = 1098392148