GCF and LCM Calculator Logo

What is the Least Common Multiple of 66268 and 66276?

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 66268 and 66276 is 1097994492.

LCM(66268,66276) = 1097994492

LCM Calculator and
and

Least Common Multiple of 66268 and 66276 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66268 and 66276, than apply into the LCM equation.

GCF(66268,66276) = 4
LCM(66268,66276) = ( 66268 × 66276) / 4
LCM(66268,66276) = 4391977968 / 4
LCM(66268,66276) = 1097994492

Least Common Multiple (LCM) of 66268 and 66276 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66268 and 66276. First we will calculate the prime factors of 66268 and 66276.

Prime Factorization of 66268

Prime factors of 66268 are 2, 16567. Prime factorization of 66268 in exponential form is:

66268 = 22 × 165671

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

Now multiplying the highest exponent prime factors to calculate the LCM of 66268 and 66276.

LCM(66268,66276) = 22 × 165671 × 32 × 71 × 2631
LCM(66268,66276) = 1097994492