What is the Least Common Multiple of 26765 and 26785?

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 26765 and 26785 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26765 and 26785, than apply into the LCM equation.

GCF(26765,26785) = 5
LCM(26765,26785) = ( 26765 × 26785) / 5
LCM(26765,26785) = 716900525 / 5
LCM(26765,26785) = 143380105

Least Common Multiple (LCM) of 26765 and 26785 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26765 and 26785. First we will calculate the prime factors of 26765 and 26785.

Prime Factorization of 26765

Prime Factorization of 26785

Now multiplying the highest exponent prime factors to calculate the LCM of 26765 and 26785.

LCM(26765,26785) = 5¹ × 53¹ × 101¹ × 11¹ × 487¹
LCM(26765,26785) = 143380105