What is the Least Common Multiple of 65688 and 65705?

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 65688 and 65705 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65688 and 65705, than apply into the LCM equation.

GCF(65688,65705) = 17
LCM(65688,65705) = ( 65688 × 65705) / 17
LCM(65688,65705) = 4316030040 / 17
LCM(65688,65705) = 253884120

Least Common Multiple (LCM) of 65688 and 65705 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65688 and 65705. First we will calculate the prime factors of 65688 and 65705.

Prime Factorization of 65688

Prime Factorization of 65705

Now multiplying the highest exponent prime factors to calculate the LCM of 65688 and 65705.

LCM(65688,65705) = 2³ × 3¹ × 7¹ × 17¹ × 23¹ × 5¹ × 773¹
LCM(65688,65705) = 253884120