GCF and LCM Calculator Logo

What is the Least Common Multiple of 26145 and 26152?

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 (LCM) of 26145 and 26152 is 97677720.

LCM(26145,26152) = 97677720

LCM Calculator and
and

Least Common Multiple of 26145 and 26152 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26145 and 26152, than apply into the LCM equation.

GCF(26145,26152) = 7
LCM(26145,26152) = ( 26145 × 26152) / 7
LCM(26145,26152) = 683744040 / 7
LCM(26145,26152) = 97677720

Least Common Multiple (LCM) of 26145 and 26152 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26145 and 26152. First we will calculate the prime factors of 26145 and 26152.

Prime Factorization of 26145

Prime factors of 26145 are 3, 5, 7, 83. Prime factorization of 26145 in exponential form is:

26145 = 32 × 51 × 71 × 831

Prime Factorization of 26152

Prime factors of 26152 are 2, 7, 467. Prime factorization of 26152 in exponential form is:

26152 = 23 × 71 × 4671

Now multiplying the highest exponent prime factors to calculate the LCM of 26145 and 26152.

LCM(26145,26152) = 32 × 51 × 71 × 831 × 23 × 4671
LCM(26145,26152) = 97677720