What is the Least Common Multiple of 26770 and 26784?

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 26770 and 26784 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26770 and 26784, than apply into the LCM equation.

GCF(26770,26784) = 2
LCM(26770,26784) = ( 26770 × 26784) / 2
LCM(26770,26784) = 717007680 / 2
LCM(26770,26784) = 358503840

Least Common Multiple (LCM) of 26770 and 26784 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26770 and 26784. First we will calculate the prime factors of 26770 and 26784.

Prime Factorization of 26770

Prime Factorization of 26784

Now multiplying the highest exponent prime factors to calculate the LCM of 26770 and 26784.

LCM(26770,26784) = 2⁵ × 5¹ × 2677¹ × 3³ × 31¹
LCM(26770,26784) = 358503840