What is the Least Common Multiple of 51617 and 51622?

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 51617 and 51622 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51617 and 51622, than apply into the LCM equation.

GCF(51617,51622) = 1
LCM(51617,51622) = ( 51617 × 51622) / 1
LCM(51617,51622) = 2664572774 / 1
LCM(51617,51622) = 2664572774

Least Common Multiple (LCM) of 51617 and 51622 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51617 and 51622. First we will calculate the prime factors of 51617 and 51622.

Prime Factorization of 51617

Prime Factorization of 51622

Now multiplying the highest exponent prime factors to calculate the LCM of 51617 and 51622.

LCM(51617,51622) = 71¹ × 727¹ × 2¹ × 53¹ × 487¹
LCM(51617,51622) = 2664572774