What is the Least Common Multiple of 51051 and 51064?

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 51051 and 51064 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51051 and 51064, than apply into the LCM equation.

GCF(51051,51064) = 13
LCM(51051,51064) = ( 51051 × 51064) / 13
LCM(51051,51064) = 2606868264 / 13
LCM(51051,51064) = 200528328

Least Common Multiple (LCM) of 51051 and 51064 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51051 and 51064. First we will calculate the prime factors of 51051 and 51064.

Prime Factorization of 51051

Prime Factorization of 51064

Now multiplying the highest exponent prime factors to calculate the LCM of 51051 and 51064.

LCM(51051,51064) = 3¹ × 7¹ × 11¹ × 13¹ × 17¹ × 2³ × 491¹
LCM(51051,51064) = 200528328