What is the Least Common Multiple of 26430 and 26450?

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 26430 and 26450 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26430 and 26450, than apply into the LCM equation.

GCF(26430,26450) = 10
LCM(26430,26450) = ( 26430 × 26450) / 10
LCM(26430,26450) = 699073500 / 10
LCM(26430,26450) = 69907350

Least Common Multiple (LCM) of 26430 and 26450 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26430 and 26450. First we will calculate the prime factors of 26430 and 26450.

Prime Factorization of 26430

Prime Factorization of 26450

Now multiplying the highest exponent prime factors to calculate the LCM of 26430 and 26450.

LCM(26430,26450) = 2¹ × 3¹ × 5² × 881¹ × 23²
LCM(26430,26450) = 69907350