GCF and LCM Calculator Logo

What is the Least Common Multiple of 92103 and 92123?

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 92103 and 92123 is 8484804669.

LCM(92103,92123) = 8484804669

LCM Calculator and
and

Least Common Multiple of 92103 and 92123 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92103 and 92123, than apply into the LCM equation.

GCF(92103,92123) = 1
LCM(92103,92123) = ( 92103 × 92123) / 1
LCM(92103,92123) = 8484804669 / 1
LCM(92103,92123) = 8484804669

Least Common Multiple (LCM) of 92103 and 92123 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92103 and 92123. First we will calculate the prime factors of 92103 and 92123.

Prime Factorization of 92103

Prime factors of 92103 are 3, 11, 2791. Prime factorization of 92103 in exponential form is:

92103 = 31 × 111 × 27911

Prime Factorization of 92123

Prime factors of 92123 are 17, 5419. Prime factorization of 92123 in exponential form is:

92123 = 171 × 54191

Now multiplying the highest exponent prime factors to calculate the LCM of 92103 and 92123.

LCM(92103,92123) = 31 × 111 × 27911 × 171 × 54191
LCM(92103,92123) = 8484804669