What is the Least Common Multiple of 51549 and 51566?

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 51549 and 51566 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51549 and 51566, than apply into the LCM equation.

GCF(51549,51566) = 1
LCM(51549,51566) = ( 51549 × 51566) / 1
LCM(51549,51566) = 2658175734 / 1
LCM(51549,51566) = 2658175734

Least Common Multiple (LCM) of 51549 and 51566 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51549 and 51566. First we will calculate the prime factors of 51549 and 51566.

Prime Factorization of 51549

Prime Factorization of 51566

Now multiplying the highest exponent prime factors to calculate the LCM of 51549 and 51566.

LCM(51549,51566) = 3¹ × 17183¹ × 2¹ × 19¹ × 23¹ × 59¹
LCM(51549,51566) = 2658175734