What is the Least Common Multiple of 26086 and 26092?

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 26086 and 26092 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26086 and 26092, than apply into the LCM equation.

GCF(26086,26092) = 2
LCM(26086,26092) = ( 26086 × 26092) / 2
LCM(26086,26092) = 680635912 / 2
LCM(26086,26092) = 340317956

Least Common Multiple (LCM) of 26086 and 26092 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26086 and 26092. First we will calculate the prime factors of 26086 and 26092.

Prime Factorization of 26086

Prime Factorization of 26092

Now multiplying the highest exponent prime factors to calculate the LCM of 26086 and 26092.

LCM(26086,26092) = 2² × 13043¹ × 11¹ × 593¹
LCM(26086,26092) = 340317956