What is the Least Common Multiple of 65471 and 65488?

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 65471 and 65488 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65471 and 65488, than apply into the LCM equation.

GCF(65471,65488) = 1
LCM(65471,65488) = ( 65471 × 65488) / 1
LCM(65471,65488) = 4287564848 / 1
LCM(65471,65488) = 4287564848

Least Common Multiple (LCM) of 65471 and 65488 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65471 and 65488. First we will calculate the prime factors of 65471 and 65488.

Prime Factorization of 65471

Prime Factorization of 65488

Now multiplying the highest exponent prime factors to calculate the LCM of 65471 and 65488.

LCM(65471,65488) = 7¹ × 47¹ × 199¹ × 2⁴ × 4093¹
LCM(65471,65488) = 4287564848