What is the Least Common Multiple of 26032 and 26052?

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 26032 and 26052 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26032 and 26052, than apply into the LCM equation.

GCF(26032,26052) = 4
LCM(26032,26052) = ( 26032 × 26052) / 4
LCM(26032,26052) = 678185664 / 4
LCM(26032,26052) = 169546416

Least Common Multiple (LCM) of 26032 and 26052 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26032 and 26052. First we will calculate the prime factors of 26032 and 26052.

Prime Factorization of 26032

Prime Factorization of 26052

Now multiplying the highest exponent prime factors to calculate the LCM of 26032 and 26052.

LCM(26032,26052) = 2⁴ × 1627¹ × 3¹ × 13¹ × 167¹
LCM(26032,26052) = 169546416