What is the Least Common Multiple of 26038 and 26048?

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 26038 and 26048 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26038 and 26048, than apply into the LCM equation.

GCF(26038,26048) = 2
LCM(26038,26048) = ( 26038 × 26048) / 2
LCM(26038,26048) = 678237824 / 2
LCM(26038,26048) = 339118912

Least Common Multiple (LCM) of 26038 and 26048 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26038 and 26048. First we will calculate the prime factors of 26038 and 26048.

Prime Factorization of 26038

Prime Factorization of 26048

Now multiplying the highest exponent prime factors to calculate the LCM of 26038 and 26048.

LCM(26038,26048) = 2⁶ × 47¹ × 277¹ × 11¹ × 37¹
LCM(26038,26048) = 339118912