What is the Least Common Multiple of 25978 and 25988?

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 25978 and 25988 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25978 and 25988, than apply into the LCM equation.

GCF(25978,25988) = 2
LCM(25978,25988) = ( 25978 × 25988) / 2
LCM(25978,25988) = 675116264 / 2
LCM(25978,25988) = 337558132

Least Common Multiple (LCM) of 25978 and 25988 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25978 and 25988. First we will calculate the prime factors of 25978 and 25988.

Prime Factorization of 25978

Prime Factorization of 25988

Now multiplying the highest exponent prime factors to calculate the LCM of 25978 and 25988.

LCM(25978,25988) = 2² × 31¹ × 419¹ × 73¹ × 89¹
LCM(25978,25988) = 337558132