What is the Least Common Multiple of 51072 and 51092?

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 51092 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 51092, than apply into the LCM equation.

GCF(51072,51092) = 4
LCM(51072,51092) = ( 51072 × 51092) / 4
LCM(51072,51092) = 2609370624 / 4
LCM(51072,51092) = 652342656

Least Common Multiple (LCM) of 51072 and 51092 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51072 and 51092. First we will calculate the prime factors of 51072 and 51092.

Prime Factorization of 51072

Prime Factorization of 51092

Now multiplying the highest exponent prime factors to calculate the LCM of 51072 and 51092.

LCM(51072,51092) = 2⁷ × 3¹ × 7¹ × 19¹ × 53¹ × 241¹
LCM(51072,51092) = 652342656