What is the Least Common Multiple of 51248 and 51259?

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 51248 and 51259 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51248 and 51259, than apply into the LCM equation.

GCF(51248,51259) = 1
LCM(51248,51259) = ( 51248 × 51259) / 1
LCM(51248,51259) = 2626921232 / 1
LCM(51248,51259) = 2626921232

Least Common Multiple (LCM) of 51248 and 51259 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51248 and 51259. First we will calculate the prime factors of 51248 and 51259.

Prime Factorization of 51248

Prime Factorization of 51259

Now multiplying the highest exponent prime factors to calculate the LCM of 51248 and 51259.

LCM(51248,51259) = 2⁴ × 3203¹ × 13¹ × 3943¹
LCM(51248,51259) = 2626921232