What is the Least Common Multiple of 26060 and 26078?

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 26060 and 26078 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26060 and 26078, than apply into the LCM equation.

GCF(26060,26078) = 2
LCM(26060,26078) = ( 26060 × 26078) / 2
LCM(26060,26078) = 679592680 / 2
LCM(26060,26078) = 339796340

Least Common Multiple (LCM) of 26060 and 26078 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26060 and 26078. First we will calculate the prime factors of 26060 and 26078.

Prime Factorization of 26060

Prime Factorization of 26078

Now multiplying the highest exponent prime factors to calculate the LCM of 26060 and 26078.

LCM(26060,26078) = 2² × 5¹ × 1303¹ × 13¹ × 17¹ × 59¹
LCM(26060,26078) = 339796340