What is the Least Common Multiple of 51604 and 51623?

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 51604 and 51623 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51604 and 51623, than apply into the LCM equation.

GCF(51604,51623) = 19
LCM(51604,51623) = ( 51604 × 51623) / 19
LCM(51604,51623) = 2663953292 / 19
LCM(51604,51623) = 140208068

Least Common Multiple (LCM) of 51604 and 51623 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51604 and 51623. First we will calculate the prime factors of 51604 and 51623.

Prime Factorization of 51604

Prime Factorization of 51623

Now multiplying the highest exponent prime factors to calculate the LCM of 51604 and 51623.

LCM(51604,51623) = 2² × 7¹ × 19² × 97¹ × 11¹ × 13¹
LCM(51604,51623) = 140208068