What is the Least Common Multiple of 65696 and 65716?

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 65696 and 65716 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65696 and 65716, than apply into the LCM equation.

GCF(65696,65716) = 4
LCM(65696,65716) = ( 65696 × 65716) / 4
LCM(65696,65716) = 4317278336 / 4
LCM(65696,65716) = 1079319584

Least Common Multiple (LCM) of 65696 and 65716 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65696 and 65716. First we will calculate the prime factors of 65696 and 65716.

Prime Factorization of 65696

Prime Factorization of 65716

Now multiplying the highest exponent prime factors to calculate the LCM of 65696 and 65716.

LCM(65696,65716) = 2⁵ × 2053¹ × 7¹ × 2347¹
LCM(65696,65716) = 1079319584