What is the Least Common Multiple of 25550 and 25564?

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 25550 and 25564 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25550 and 25564, than apply into the LCM equation.

GCF(25550,25564) = 14
LCM(25550,25564) = ( 25550 × 25564) / 14
LCM(25550,25564) = 653160200 / 14
LCM(25550,25564) = 46654300

Least Common Multiple (LCM) of 25550 and 25564 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25550 and 25564. First we will calculate the prime factors of 25550 and 25564.

Prime Factorization of 25550

Prime Factorization of 25564

Now multiplying the highest exponent prime factors to calculate the LCM of 25550 and 25564.

LCM(25550,25564) = 2² × 5² × 7¹ × 73¹ × 11¹ × 83¹
LCM(25550,25564) = 46654300