What is the Least Common Multiple of 26905 and 26915?

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 26905 and 26915 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26905 and 26915, than apply into the LCM equation.

GCF(26905,26915) = 5
LCM(26905,26915) = ( 26905 × 26915) / 5
LCM(26905,26915) = 724148075 / 5
LCM(26905,26915) = 144829615

Least Common Multiple (LCM) of 26905 and 26915 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26905 and 26915. First we will calculate the prime factors of 26905 and 26915.

Prime Factorization of 26905

Prime Factorization of 26915

Now multiplying the highest exponent prime factors to calculate the LCM of 26905 and 26915.

LCM(26905,26915) = 5¹ × 5381¹ × 7¹ × 769¹
LCM(26905,26915) = 144829615