What is the Least Common Multiple of 26985 and 26996?

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 26996 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 26996, than apply into the LCM equation.

GCF(26985,26996) = 1
LCM(26985,26996) = ( 26985 × 26996) / 1
LCM(26985,26996) = 728487060 / 1
LCM(26985,26996) = 728487060

Least Common Multiple (LCM) of 26985 and 26996 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26985 and 26996. First we will calculate the prime factors of 26985 and 26996.

Prime Factorization of 26985

Prime Factorization of 26996

Now multiplying the highest exponent prime factors to calculate the LCM of 26985 and 26996.

LCM(26985,26996) = 3¹ × 5¹ × 7¹ × 257¹ × 2² × 17¹ × 397¹
LCM(26985,26996) = 728487060