What is the Least Common Multiple of 26125 and 26142?

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 26125 and 26142 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26125 and 26142, than apply into the LCM equation.

GCF(26125,26142) = 1
LCM(26125,26142) = ( 26125 × 26142) / 1
LCM(26125,26142) = 682959750 / 1
LCM(26125,26142) = 682959750

Least Common Multiple (LCM) of 26125 and 26142 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26125 and 26142. First we will calculate the prime factors of 26125 and 26142.

Prime Factorization of 26125

Prime Factorization of 26142

Now multiplying the highest exponent prime factors to calculate the LCM of 26125 and 26142.

LCM(26125,26142) = 5³ × 11¹ × 19¹ × 2¹ × 3¹ × 4357¹
LCM(26125,26142) = 682959750