What is the Least Common Multiple of 10931 and 10951?

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 of 10931 and 10951 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10931 and 10951, than apply into the LCM equation.

GCF(10931,10951) = 1
LCM(10931,10951) = ( 10931 × 10951) / 1
LCM(10931,10951) = 119705381 / 1
LCM(10931,10951) = 119705381

Least Common Multiple (LCM) of 10931 and 10951 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10931 and 10951. First we will calculate the prime factors of 10931 and 10951.

Prime Factorization of 10931

Prime Factorization of 10951

Now multiplying the highest exponent prime factors to calculate the LCM of 10931 and 10951.

LCM(10931,10951) = 17¹ × 643¹ × 47¹ × 233¹
LCM(10931,10951) = 119705381