What is the Least Common Multiple of 26450 and 26458?

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 26450 and 26458 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26450 and 26458, than apply into the LCM equation.

GCF(26450,26458) = 2
LCM(26450,26458) = ( 26450 × 26458) / 2
LCM(26450,26458) = 699814100 / 2
LCM(26450,26458) = 349907050

Least Common Multiple (LCM) of 26450 and 26458 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26450 and 26458. First we will calculate the prime factors of 26450 and 26458.

Prime Factorization of 26450

Prime Factorization of 26458

Now multiplying the highest exponent prime factors to calculate the LCM of 26450 and 26458.

LCM(26450,26458) = 2¹ × 5² × 23² × 13229¹
LCM(26450,26458) = 349907050