What is the Least Common Multiple of 25412 and 25429?

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 25412 and 25429 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25412 and 25429, than apply into the LCM equation.

GCF(25412,25429) = 1
LCM(25412,25429) = ( 25412 × 25429) / 1
LCM(25412,25429) = 646201748 / 1
LCM(25412,25429) = 646201748

Least Common Multiple (LCM) of 25412 and 25429 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25412 and 25429. First we will calculate the prime factors of 25412 and 25429.

Prime Factorization of 25412

Prime Factorization of 25429

Now multiplying the highest exponent prime factors to calculate the LCM of 25412 and 25429.

LCM(25412,25429) = 2² × 6353¹ × 59¹ × 431¹
LCM(25412,25429) = 646201748