What is the Least Common Multiple of 26805 and 26824?

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 26805 and 26824 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26805 and 26824, than apply into the LCM equation.

GCF(26805,26824) = 1
LCM(26805,26824) = ( 26805 × 26824) / 1
LCM(26805,26824) = 719017320 / 1
LCM(26805,26824) = 719017320

Least Common Multiple (LCM) of 26805 and 26824 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26805 and 26824. First we will calculate the prime factors of 26805 and 26824.

Prime Factorization of 26805

Prime Factorization of 26824

Now multiplying the highest exponent prime factors to calculate the LCM of 26805 and 26824.

LCM(26805,26824) = 3¹ × 5¹ × 1787¹ × 2³ × 7¹ × 479¹
LCM(26805,26824) = 719017320