GCF and LCM Calculator Logo

What is the Least Common Multiple of 88254 and 88273?

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 88254 and 88273 is 7790445342.

LCM(88254,88273) = 7790445342

LCM Calculator and
and

Least Common Multiple of 88254 and 88273 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88254 and 88273, than apply into the LCM equation.

GCF(88254,88273) = 1
LCM(88254,88273) = ( 88254 × 88273) / 1
LCM(88254,88273) = 7790445342 / 1
LCM(88254,88273) = 7790445342

Least Common Multiple (LCM) of 88254 and 88273 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88254 and 88273. First we will calculate the prime factors of 88254 and 88273.

Prime Factorization of 88254

Prime factors of 88254 are 2, 3, 4903. Prime factorization of 88254 in exponential form is:

88254 = 21 × 32 × 49031

Prime Factorization of 88273

Prime factors of 88273 are 41, 2153. Prime factorization of 88273 in exponential form is:

88273 = 411 × 21531

Now multiplying the highest exponent prime factors to calculate the LCM of 88254 and 88273.

LCM(88254,88273) = 21 × 32 × 49031 × 411 × 21531
LCM(88254,88273) = 7790445342