What is the Least Common Multiple of 51450 and 51469?

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 51469 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 51469, than apply into the LCM equation.

GCF(51450,51469) = 1
LCM(51450,51469) = ( 51450 × 51469) / 1
LCM(51450,51469) = 2648080050 / 1
LCM(51450,51469) = 2648080050

Least Common Multiple (LCM) of 51450 and 51469 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51450 and 51469. First we will calculate the prime factors of 51450 and 51469.

Prime Factorization of 51450

Prime Factorization of 51469

Now multiplying the highest exponent prime factors to calculate the LCM of 51450 and 51469.

LCM(51450,51469) = 2¹ × 3¹ × 5² × 7³ × 11¹ × 4679¹
LCM(51450,51469) = 2648080050