What is the Least Common Multiple of 25190 and 25201?

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 25190 and 25201 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25190 and 25201, than apply into the LCM equation.

GCF(25190,25201) = 11
LCM(25190,25201) = ( 25190 × 25201) / 11
LCM(25190,25201) = 634813190 / 11
LCM(25190,25201) = 57710290

Least Common Multiple (LCM) of 25190 and 25201 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25190 and 25201. First we will calculate the prime factors of 25190 and 25201.

Prime Factorization of 25190

Prime Factorization of 25201

Now multiplying the highest exponent prime factors to calculate the LCM of 25190 and 25201.

LCM(25190,25201) = 2¹ × 5¹ × 11¹ × 229¹ × 29¹ × 79¹
LCM(25190,25201) = 57710290