GCF and LCM Calculator Logo

What is the Least Common Multiple of 56148 and 56153?

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 56148 and 56153 is 3152878644.

LCM(56148,56153) = 3152878644

LCM Calculator and
and

Least Common Multiple of 56148 and 56153 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56148 and 56153, than apply into the LCM equation.

GCF(56148,56153) = 1
LCM(56148,56153) = ( 56148 × 56153) / 1
LCM(56148,56153) = 3152878644 / 1
LCM(56148,56153) = 3152878644

Least Common Multiple (LCM) of 56148 and 56153 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56148 and 56153. First we will calculate the prime factors of 56148 and 56153.

Prime Factorization of 56148

Prime factors of 56148 are 2, 3, 4679. Prime factorization of 56148 in exponential form is:

56148 = 22 × 31 × 46791

Prime Factorization of 56153

Prime factors of 56153 are 233, 241. Prime factorization of 56153 in exponential form is:

56153 = 2331 × 2411

Now multiplying the highest exponent prime factors to calculate the LCM of 56148 and 56153.

LCM(56148,56153) = 22 × 31 × 46791 × 2331 × 2411
LCM(56148,56153) = 3152878644