What is the Least Common Multiple of 51450 and 51470?

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 51450 and 51470 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51450 and 51470, than apply into the LCM equation.

GCF(51450,51470) = 10
LCM(51450,51470) = ( 51450 × 51470) / 10
LCM(51450,51470) = 2648131500 / 10
LCM(51450,51470) = 264813150

Least Common Multiple (LCM) of 51450 and 51470 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51450 and 51470. First we will calculate the prime factors of 51450 and 51470.

Prime Factorization of 51450

Prime Factorization of 51470

Now multiplying the highest exponent prime factors to calculate the LCM of 51450 and 51470.

LCM(51450,51470) = 2¹ × 3¹ × 5² × 7³ × 5147¹
LCM(51450,51470) = 264813150