What is the Least Common Multiple of 26460 and 26480?

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 26460 and 26480 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26460 and 26480, than apply into the LCM equation.

GCF(26460,26480) = 20
LCM(26460,26480) = ( 26460 × 26480) / 20
LCM(26460,26480) = 700660800 / 20
LCM(26460,26480) = 35033040

Least Common Multiple (LCM) of 26460 and 26480 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26460 and 26480. First we will calculate the prime factors of 26460 and 26480.

Prime Factorization of 26460

Prime Factorization of 26480

Now multiplying the highest exponent prime factors to calculate the LCM of 26460 and 26480.

LCM(26460,26480) = 2⁴ × 3³ × 5¹ × 7² × 331¹
LCM(26460,26480) = 35033040