What is the Least Common Multiple of 51653 and 51669?

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 51653 and 51669 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51653 and 51669, than apply into the LCM equation.

GCF(51653,51669) = 1
LCM(51653,51669) = ( 51653 × 51669) / 1
LCM(51653,51669) = 2668858857 / 1
LCM(51653,51669) = 2668858857

Least Common Multiple (LCM) of 51653 and 51669 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51653 and 51669. First we will calculate the prime factors of 51653 and 51669.

Prime Factorization of 51653

Prime Factorization of 51669

Now multiplying the highest exponent prime factors to calculate the LCM of 51653 and 51669.

LCM(51653,51669) = 7¹ × 47¹ × 157¹ × 3² × 5741¹
LCM(51653,51669) = 2668858857