What is the Least Common Multiple of 26058 and 26077?

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 26058 and 26077 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26058 and 26077, than apply into the LCM equation.

GCF(26058,26077) = 1
LCM(26058,26077) = ( 26058 × 26077) / 1
LCM(26058,26077) = 679514466 / 1
LCM(26058,26077) = 679514466

Least Common Multiple (LCM) of 26058 and 26077 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26058 and 26077. First we will calculate the prime factors of 26058 and 26077.

Prime Factorization of 26058

Prime Factorization of 26077

Now multiplying the highest exponent prime factors to calculate the LCM of 26058 and 26077.

LCM(26058,26077) = 2¹ × 3¹ × 43¹ × 101¹ × 89¹ × 293¹
LCM(26058,26077) = 679514466