What is the Least Common Multiple of 51960 and 51973?

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 51960 and 51973 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51960 and 51973, than apply into the LCM equation.

GCF(51960,51973) = 1
LCM(51960,51973) = ( 51960 × 51973) / 1
LCM(51960,51973) = 2700517080 / 1
LCM(51960,51973) = 2700517080

Least Common Multiple (LCM) of 51960 and 51973 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51960 and 51973. First we will calculate the prime factors of 51960 and 51973.

Prime Factorization of 51960

Prime Factorization of 51973

Now multiplying the highest exponent prime factors to calculate the LCM of 51960 and 51973.

LCM(51960,51973) = 2³ × 3¹ × 5¹ × 433¹ × 51973¹
LCM(51960,51973) = 2700517080