What is the Least Common Multiple of 25294 and 25308?

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 25294 and 25308 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25294 and 25308, than apply into the LCM equation.

GCF(25294,25308) = 2
LCM(25294,25308) = ( 25294 × 25308) / 2
LCM(25294,25308) = 640140552 / 2
LCM(25294,25308) = 320070276

Least Common Multiple (LCM) of 25294 and 25308 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25294 and 25308. First we will calculate the prime factors of 25294 and 25308.

Prime Factorization of 25294

Prime Factorization of 25308

Now multiplying the highest exponent prime factors to calculate the LCM of 25294 and 25308.

LCM(25294,25308) = 2² × 12647¹ × 3² × 19¹ × 37¹
LCM(25294,25308) = 320070276