What is the Least Common Multiple of 26320 and 26328?

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 26320 and 26328 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26320 and 26328, than apply into the LCM equation.

GCF(26320,26328) = 8
LCM(26320,26328) = ( 26320 × 26328) / 8
LCM(26320,26328) = 692952960 / 8
LCM(26320,26328) = 86619120

Least Common Multiple (LCM) of 26320 and 26328 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26320 and 26328. First we will calculate the prime factors of 26320 and 26328.

Prime Factorization of 26320

Prime Factorization of 26328

Now multiplying the highest exponent prime factors to calculate the LCM of 26320 and 26328.

LCM(26320,26328) = 2⁴ × 5¹ × 7¹ × 47¹ × 3¹ × 1097¹
LCM(26320,26328) = 86619120