What is the Least Common Multiple of 65523 and 65532?

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 65523 and 65532 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65523 and 65532, than apply into the LCM equation.

GCF(65523,65532) = 3
LCM(65523,65532) = ( 65523 × 65532) / 3
LCM(65523,65532) = 4293853236 / 3
LCM(65523,65532) = 1431284412

Least Common Multiple (LCM) of 65523 and 65532 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65523 and 65532. First we will calculate the prime factors of 65523 and 65532.

Prime Factorization of 65523

Prime Factorization of 65532

Now multiplying the highest exponent prime factors to calculate the LCM of 65523 and 65532.

LCM(65523,65532) = 3¹ × 21841¹ × 2² × 43¹ × 127¹
LCM(65523,65532) = 1431284412