What is the Least Common Multiple of 25415 and 25434?

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 25415 and 25434 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25415 and 25434, than apply into the LCM equation.

GCF(25415,25434) = 1
LCM(25415,25434) = ( 25415 × 25434) / 1
LCM(25415,25434) = 646405110 / 1
LCM(25415,25434) = 646405110

Least Common Multiple (LCM) of 25415 and 25434 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25415 and 25434. First we will calculate the prime factors of 25415 and 25434.

Prime Factorization of 25415

Prime Factorization of 25434

Now multiplying the highest exponent prime factors to calculate the LCM of 25415 and 25434.

LCM(25415,25434) = 5¹ × 13¹ × 17¹ × 23¹ × 2¹ × 3⁴ × 157¹
LCM(25415,25434) = 646405110