What is the Least Common Multiple of 26461 and 26475?

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 26461 and 26475 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26461 and 26475, than apply into the LCM equation.

GCF(26461,26475) = 1
LCM(26461,26475) = ( 26461 × 26475) / 1
LCM(26461,26475) = 700554975 / 1
LCM(26461,26475) = 700554975

Least Common Multiple (LCM) of 26461 and 26475 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26461 and 26475. First we will calculate the prime factors of 26461 and 26475.

Prime Factorization of 26461

Prime Factorization of 26475

Now multiplying the highest exponent prime factors to calculate the LCM of 26461 and 26475.

LCM(26461,26475) = 47¹ × 563¹ × 3¹ × 5² × 353¹
LCM(26461,26475) = 700554975