What is the Least Common Multiple of 10914 and 10930?

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 10914 and 10930 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10914 and 10930, than apply into the LCM equation.

GCF(10914,10930) = 2
LCM(10914,10930) = ( 10914 × 10930) / 2
LCM(10914,10930) = 119290020 / 2
LCM(10914,10930) = 59645010

Least Common Multiple (LCM) of 10914 and 10930 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10914 and 10930. First we will calculate the prime factors of 10914 and 10930.

Prime Factorization of 10914

Prime Factorization of 10930

Now multiplying the highest exponent prime factors to calculate the LCM of 10914 and 10930.

LCM(10914,10930) = 2¹ × 3¹ × 17¹ × 107¹ × 5¹ × 1093¹
LCM(10914,10930) = 59645010