What is the Least Common Multiple of 26540 and 26546?

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 26540 and 26546 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26540 and 26546, than apply into the LCM equation.

GCF(26540,26546) = 2
LCM(26540,26546) = ( 26540 × 26546) / 2
LCM(26540,26546) = 704530840 / 2
LCM(26540,26546) = 352265420

Least Common Multiple (LCM) of 26540 and 26546 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26540 and 26546. First we will calculate the prime factors of 26540 and 26546.

Prime Factorization of 26540

Prime Factorization of 26546

Now multiplying the highest exponent prime factors to calculate the LCM of 26540 and 26546.

LCM(26540,26546) = 2² × 5¹ × 1327¹ × 13¹ × 1021¹
LCM(26540,26546) = 352265420