What is the Least Common Multiple of 26320 and 26334?

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 26334 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 26334, than apply into the LCM equation.

GCF(26320,26334) = 14
LCM(26320,26334) = ( 26320 × 26334) / 14
LCM(26320,26334) = 693110880 / 14
LCM(26320,26334) = 49507920

Least Common Multiple (LCM) of 26320 and 26334 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26320 and 26334. First we will calculate the prime factors of 26320 and 26334.

Prime Factorization of 26320

Prime Factorization of 26334

Now multiplying the highest exponent prime factors to calculate the LCM of 26320 and 26334.

LCM(26320,26334) = 2⁴ × 5¹ × 7¹ × 47¹ × 3² × 11¹ × 19¹
LCM(26320,26334) = 49507920