What is the Least Common Multiple of 51012 and 51021?

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 51012 and 51021 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51012 and 51021, than apply into the LCM equation.

GCF(51012,51021) = 9
LCM(51012,51021) = ( 51012 × 51021) / 9
LCM(51012,51021) = 2602683252 / 9
LCM(51012,51021) = 289187028

Least Common Multiple (LCM) of 51012 and 51021 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51012 and 51021. First we will calculate the prime factors of 51012 and 51021.

Prime Factorization of 51012

Prime Factorization of 51021

Now multiplying the highest exponent prime factors to calculate the LCM of 51012 and 51021.

LCM(51012,51021) = 2² × 3² × 13¹ × 109¹ × 5669¹
LCM(51012,51021) = 289187028