GCF and LCM Calculator Logo

What is the Least Common Multiple of 26478 and 26495?

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 26478 and 26495 is 701534610.

LCM(26478,26495) = 701534610

LCM Calculator and
and

Least Common Multiple of 26478 and 26495 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26478 and 26495, than apply into the LCM equation.

GCF(26478,26495) = 1
LCM(26478,26495) = ( 26478 × 26495) / 1
LCM(26478,26495) = 701534610 / 1
LCM(26478,26495) = 701534610

Least Common Multiple (LCM) of 26478 and 26495 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26478 and 26495. First we will calculate the prime factors of 26478 and 26495.

Prime Factorization of 26478

Prime factors of 26478 are 2, 3, 1471. Prime factorization of 26478 in exponential form is:

26478 = 21 × 32 × 14711

Prime Factorization of 26495

Prime factors of 26495 are 5, 7, 757. Prime factorization of 26495 in exponential form is:

26495 = 51 × 71 × 7571

Now multiplying the highest exponent prime factors to calculate the LCM of 26478 and 26495.

LCM(26478,26495) = 21 × 32 × 14711 × 51 × 71 × 7571
LCM(26478,26495) = 701534610