What is the Least Common Multiple of 26985 and 26993?

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 26985 and 26993 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26985 and 26993, than apply into the LCM equation.

GCF(26985,26993) = 1
LCM(26985,26993) = ( 26985 × 26993) / 1
LCM(26985,26993) = 728406105 / 1
LCM(26985,26993) = 728406105

Least Common Multiple (LCM) of 26985 and 26993 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26985 and 26993. First we will calculate the prime factors of 26985 and 26993.

Prime Factorization of 26985

Prime Factorization of 26993

Now multiplying the highest exponent prime factors to calculate the LCM of 26985 and 26993.

LCM(26985,26993) = 3¹ × 5¹ × 7¹ × 257¹ × 26993¹
LCM(26985,26993) = 728406105