What is the Least Common Multiple of 25053 and 25068?

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 25053 and 25068 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25053 and 25068, than apply into the LCM equation.

GCF(25053,25068) = 3
LCM(25053,25068) = ( 25053 × 25068) / 3
LCM(25053,25068) = 628028604 / 3
LCM(25053,25068) = 209342868

Least Common Multiple (LCM) of 25053 and 25068 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25053 and 25068. First we will calculate the prime factors of 25053 and 25068.

Prime Factorization of 25053

Prime Factorization of 25068

Now multiplying the highest exponent prime factors to calculate the LCM of 25053 and 25068.

LCM(25053,25068) = 3¹ × 7¹ × 1193¹ × 2² × 2089¹
LCM(25053,25068) = 209342868