What is the Least Common Multiple of 26912 and 26930?

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 26912 and 26930 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26912 and 26930, than apply into the LCM equation.

GCF(26912,26930) = 2
LCM(26912,26930) = ( 26912 × 26930) / 2
LCM(26912,26930) = 724740160 / 2
LCM(26912,26930) = 362370080

Least Common Multiple (LCM) of 26912 and 26930 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26912 and 26930. First we will calculate the prime factors of 26912 and 26930.

Prime Factorization of 26912

Prime Factorization of 26930

Now multiplying the highest exponent prime factors to calculate the LCM of 26912 and 26930.

LCM(26912,26930) = 2⁵ × 29² × 5¹ × 2693¹
LCM(26912,26930) = 362370080