What is the Least Common Multiple of 30914 and 30930?

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 30914 and 30930 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30914 and 30930, than apply into the LCM equation.

GCF(30914,30930) = 2
LCM(30914,30930) = ( 30914 × 30930) / 2
LCM(30914,30930) = 956170020 / 2
LCM(30914,30930) = 478085010

Least Common Multiple (LCM) of 30914 and 30930 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30914 and 30930. First we will calculate the prime factors of 30914 and 30930.

Prime Factorization of 30914

Prime Factorization of 30930

Now multiplying the highest exponent prime factors to calculate the LCM of 30914 and 30930.

LCM(30914,30930) = 2¹ × 13¹ × 29¹ × 41¹ × 3¹ × 5¹ × 1031¹
LCM(30914,30930) = 478085010