What is the Least Common Multiple of 25689 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 of 25689 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 25689 and 25702, than apply into the LCM equation.

GCF(25689,25702) = 1
LCM(25689,25702) = ( 25689 × 25702) / 1
LCM(25689,25702) = 660258678 / 1
LCM(25689,25702) = 660258678

Least Common Multiple (LCM) of 25689 and 25702 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25689 and 25702. First we will calculate the prime factors of 25689 and 25702.

Prime Factorization of 25689

Prime Factorization of 25702

Now multiplying the highest exponent prime factors to calculate the LCM of 25689 and 25702.

LCM(25689,25702) = 3¹ × 8563¹ × 2¹ × 71¹ × 181¹
LCM(25689,25702) = 660258678