What is the Least Common Multiple of 51225 and 51234?

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 51225 and 51234 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51225 and 51234, than apply into the LCM equation.

GCF(51225,51234) = 3
LCM(51225,51234) = ( 51225 × 51234) / 3
LCM(51225,51234) = 2624461650 / 3
LCM(51225,51234) = 874820550

Least Common Multiple (LCM) of 51225 and 51234 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51225 and 51234. First we will calculate the prime factors of 51225 and 51234.

Prime Factorization of 51225

Prime Factorization of 51234

Now multiplying the highest exponent prime factors to calculate the LCM of 51225 and 51234.

LCM(51225,51234) = 3¹ × 5² × 683¹ × 2¹ × 8539¹
LCM(51225,51234) = 874820550