What is the Least Common Multiple of 51234 and 51254?

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 51234 and 51254 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51234 and 51254, than apply into the LCM equation.

GCF(51234,51254) = 2
LCM(51234,51254) = ( 51234 × 51254) / 2
LCM(51234,51254) = 2625947436 / 2
LCM(51234,51254) = 1312973718

Least Common Multiple (LCM) of 51234 and 51254 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51234 and 51254. First we will calculate the prime factors of 51234 and 51254.

Prime Factorization of 51234

Prime Factorization of 51254

Now multiplying the highest exponent prime factors to calculate the LCM of 51234 and 51254.

LCM(51234,51254) = 2¹ × 3¹ × 8539¹ × 7² × 523¹
LCM(51234,51254) = 1312973718