What is the Least Common Multiple of 26110 and 26125?

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 26110 and 26125 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26110 and 26125, than apply into the LCM equation.

GCF(26110,26125) = 5
LCM(26110,26125) = ( 26110 × 26125) / 5
LCM(26110,26125) = 682123750 / 5
LCM(26110,26125) = 136424750

Least Common Multiple (LCM) of 26110 and 26125 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26110 and 26125. First we will calculate the prime factors of 26110 and 26125.

Prime Factorization of 26110

Prime Factorization of 26125

Now multiplying the highest exponent prime factors to calculate the LCM of 26110 and 26125.

LCM(26110,26125) = 2¹ × 5³ × 7¹ × 373¹ × 11¹ × 19¹
LCM(26110,26125) = 136424750