GCF and LCM Calculator Logo

What is the Least Common Multiple of 923 and 937?

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 923 and 937 is 864851.

LCM(923,937) = 864851

LCM Calculator and
and

Least Common Multiple of 923 and 937 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 923 and 937, than apply into the LCM equation.

GCF(923,937) = 1
LCM(923,937) = ( 923 × 937) / 1
LCM(923,937) = 864851 / 1
LCM(923,937) = 864851

Least Common Multiple (LCM) of 923 and 937 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 923 and 937. First we will calculate the prime factors of 923 and 937.

Prime Factorization of 923

Prime factors of 923 are 13, 71. Prime factorization of 923 in exponential form is:

923 = 131 × 711

Prime Factorization of 937

Prime factors of 937 are 937. Prime factorization of 937 in exponential form is:

937 = 9371

Now multiplying the highest exponent prime factors to calculate the LCM of 923 and 937.

LCM(923,937) = 131 × 711 × 9371
LCM(923,937) = 864851