What is the Least Common Multiple of 26142 and 26154?

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 26142 and 26154 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26142 and 26154, than apply into the LCM equation.

GCF(26142,26154) = 6
LCM(26142,26154) = ( 26142 × 26154) / 6
LCM(26142,26154) = 683717868 / 6
LCM(26142,26154) = 113952978

Least Common Multiple (LCM) of 26142 and 26154 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26142 and 26154. First we will calculate the prime factors of 26142 and 26154.

Prime Factorization of 26142

Prime Factorization of 26154

Now multiplying the highest exponent prime factors to calculate the LCM of 26142 and 26154.

LCM(26142,26154) = 2¹ × 3² × 4357¹ × 1453¹
LCM(26142,26154) = 113952978