What is the Least Common Multiple of 26139 and 26159?

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 26139 and 26159 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26139 and 26159, than apply into the LCM equation.

GCF(26139,26159) = 1
LCM(26139,26159) = ( 26139 × 26159) / 1
LCM(26139,26159) = 683770101 / 1
LCM(26139,26159) = 683770101

Least Common Multiple (LCM) of 26139 and 26159 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26139 and 26159. First we will calculate the prime factors of 26139 and 26159.

Prime Factorization of 26139

Prime Factorization of 26159

Now multiplying the highest exponent prime factors to calculate the LCM of 26139 and 26159.

LCM(26139,26159) = 3¹ × 8713¹ × 7¹ × 37¹ × 101¹
LCM(26139,26159) = 683770101