What is the Least Common Multiple of 25970 and 25990?

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 25970 and 25990 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25970 and 25990, than apply into the LCM equation.

GCF(25970,25990) = 10
LCM(25970,25990) = ( 25970 × 25990) / 10
LCM(25970,25990) = 674960300 / 10
LCM(25970,25990) = 67496030

Least Common Multiple (LCM) of 25970 and 25990 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25970 and 25990. First we will calculate the prime factors of 25970 and 25990.

Prime Factorization of 25970

Prime Factorization of 25990

Now multiplying the highest exponent prime factors to calculate the LCM of 25970 and 25990.

LCM(25970,25990) = 2¹ × 5¹ × 7² × 53¹ × 23¹ × 113¹
LCM(25970,25990) = 67496030