What is the Least Common Multiple of 26450 and 26462?

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 26462 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 26462, than apply into the LCM equation.

GCF(26450,26462) = 2
LCM(26450,26462) = ( 26450 × 26462) / 2
LCM(26450,26462) = 699919900 / 2
LCM(26450,26462) = 349959950

Least Common Multiple (LCM) of 26450 and 26462 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26450 and 26462. First we will calculate the prime factors of 26450 and 26462.

Prime Factorization of 26450

Prime Factorization of 26462

Now multiplying the highest exponent prime factors to calculate the LCM of 26450 and 26462.

LCM(26450,26462) = 2¹ × 5² × 23² × 101¹ × 131¹
LCM(26450,26462) = 349959950