What is the Least Common Multiple of 26040 and 26054?

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 26040 and 26054 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26040 and 26054, than apply into the LCM equation.

GCF(26040,26054) = 14
LCM(26040,26054) = ( 26040 × 26054) / 14
LCM(26040,26054) = 678446160 / 14
LCM(26040,26054) = 48460440

Least Common Multiple (LCM) of 26040 and 26054 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26040 and 26054. First we will calculate the prime factors of 26040 and 26054.

Prime Factorization of 26040

Prime Factorization of 26054

Now multiplying the highest exponent prime factors to calculate the LCM of 26040 and 26054.

LCM(26040,26054) = 2³ × 3¹ × 5¹ × 7¹ × 31¹ × 1861¹
LCM(26040,26054) = 48460440