What is the Least Common Multiple of 23058 and 23077?

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 23058 and 23077 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23058 and 23077, than apply into the LCM equation.

GCF(23058,23077) = 1
LCM(23058,23077) = ( 23058 × 23077) / 1
LCM(23058,23077) = 532109466 / 1
LCM(23058,23077) = 532109466

Least Common Multiple (LCM) of 23058 and 23077 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23058 and 23077. First we will calculate the prime factors of 23058 and 23077.

Prime Factorization of 23058

Prime Factorization of 23077

Now multiplying the highest exponent prime factors to calculate the LCM of 23058 and 23077.

LCM(23058,23077) = 2¹ × 3³ × 7¹ × 61¹ × 47¹ × 491¹
LCM(23058,23077) = 532109466