What is the Least Common Multiple of 51953 and 51971?

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 51953 and 51971 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51953 and 51971, than apply into the LCM equation.

GCF(51953,51971) = 1
LCM(51953,51971) = ( 51953 × 51971) / 1
LCM(51953,51971) = 2700049363 / 1
LCM(51953,51971) = 2700049363

Least Common Multiple (LCM) of 51953 and 51971 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51953 and 51971. First we will calculate the prime factors of 51953 and 51971.

Prime Factorization of 51953

Prime Factorization of 51971

Now multiplying the highest exponent prime factors to calculate the LCM of 51953 and 51971.

LCM(51953,51971) = 11¹ × 4723¹ × 51971¹
LCM(51953,51971) = 2700049363