GCF and LCM Calculator Logo

What is the Least Common Multiple of 57107 and 57123?

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 57107 and 57123 is 3262123161.

LCM(57107,57123) = 3262123161

LCM Calculator and
and

Least Common Multiple of 57107 and 57123 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57107 and 57123, than apply into the LCM equation.

GCF(57107,57123) = 1
LCM(57107,57123) = ( 57107 × 57123) / 1
LCM(57107,57123) = 3262123161 / 1
LCM(57107,57123) = 3262123161

Least Common Multiple (LCM) of 57107 and 57123 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57107 and 57123. First we will calculate the prime factors of 57107 and 57123.

Prime Factorization of 57107

Prime factors of 57107 are 57107. Prime factorization of 57107 in exponential form is:

57107 = 571071

Prime Factorization of 57123

Prime factors of 57123 are 3, 11, 577. Prime factorization of 57123 in exponential form is:

57123 = 32 × 111 × 5771

Now multiplying the highest exponent prime factors to calculate the LCM of 57107 and 57123.

LCM(57107,57123) = 571071 × 32 × 111 × 5771
LCM(57107,57123) = 3262123161