What is the Least Common Multiple of 51649 and 51662?

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 51649 and 51662 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51649 and 51662, than apply into the LCM equation.

GCF(51649,51662) = 13
LCM(51649,51662) = ( 51649 × 51662) / 13
LCM(51649,51662) = 2668290638 / 13
LCM(51649,51662) = 205253126

Least Common Multiple (LCM) of 51649 and 51662 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51649 and 51662. First we will calculate the prime factors of 51649 and 51662.

Prime Factorization of 51649

Prime Factorization of 51662

Now multiplying the highest exponent prime factors to calculate the LCM of 51649 and 51662.

LCM(51649,51662) = 13¹ × 29¹ × 137¹ × 2¹ × 1987¹
LCM(51649,51662) = 205253126