What is the Least Common Multiple of 25314 and 25330?

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 25314 and 25330 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25314 and 25330, than apply into the LCM equation.

GCF(25314,25330) = 2
LCM(25314,25330) = ( 25314 × 25330) / 2
LCM(25314,25330) = 641203620 / 2
LCM(25314,25330) = 320601810

Least Common Multiple (LCM) of 25314 and 25330 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25314 and 25330. First we will calculate the prime factors of 25314 and 25330.

Prime Factorization of 25314

Prime Factorization of 25330

Now multiplying the highest exponent prime factors to calculate the LCM of 25314 and 25330.

LCM(25314,25330) = 2¹ × 3¹ × 4219¹ × 5¹ × 17¹ × 149¹
LCM(25314,25330) = 320601810