What is the Least Common Multiple of 51072 and 51090?

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 51072 and 51090 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51072 and 51090, than apply into the LCM equation.

GCF(51072,51090) = 6
LCM(51072,51090) = ( 51072 × 51090) / 6
LCM(51072,51090) = 2609268480 / 6
LCM(51072,51090) = 434878080

Least Common Multiple (LCM) of 51072 and 51090 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51072 and 51090. First we will calculate the prime factors of 51072 and 51090.

Prime Factorization of 51072

Prime Factorization of 51090

Now multiplying the highest exponent prime factors to calculate the LCM of 51072 and 51090.

LCM(51072,51090) = 2⁷ × 3¹ × 7¹ × 19¹ × 5¹ × 13¹ × 131¹
LCM(51072,51090) = 434878080