GCF and LCM Calculator Logo

What is the Least Common Multiple of 25691 and 25702?

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 25691 and 25702 is 660310082.

LCM(25691,25702) = 660310082

LCM Calculator and
and

Least Common Multiple of 25691 and 25702 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25691 and 25702, than apply into the LCM equation.

GCF(25691,25702) = 1
LCM(25691,25702) = ( 25691 × 25702) / 1
LCM(25691,25702) = 660310082 / 1
LCM(25691,25702) = 660310082

Least Common Multiple (LCM) of 25691 and 25702 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25691 and 25702. First we will calculate the prime factors of 25691 and 25702.

Prime Factorization of 25691

Prime factors of 25691 are 23, 1117. Prime factorization of 25691 in exponential form is:

25691 = 231 × 11171

Prime Factorization of 25702

Prime factors of 25702 are 2, 71, 181. Prime factorization of 25702 in exponential form is:

25702 = 21 × 711 × 1811

Now multiplying the highest exponent prime factors to calculate the LCM of 25691 and 25702.

LCM(25691,25702) = 231 × 11171 × 21 × 711 × 1811
LCM(25691,25702) = 660310082