What is the Least Common Multiple of 26624 and 26642?

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 26624 and 26642 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26624 and 26642, than apply into the LCM equation.

GCF(26624,26642) = 2
LCM(26624,26642) = ( 26624 × 26642) / 2
LCM(26624,26642) = 709316608 / 2
LCM(26624,26642) = 354658304

Least Common Multiple (LCM) of 26624 and 26642 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26624 and 26642. First we will calculate the prime factors of 26624 and 26642.

Prime Factorization of 26624

Prime Factorization of 26642

Now multiplying the highest exponent prime factors to calculate the LCM of 26624 and 26642.

LCM(26624,26642) = 2¹¹ × 13¹ × 7¹ × 11¹ × 173¹
LCM(26624,26642) = 354658304