What is the Least Common Multiple of 55696 and 55708?

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 55696 and 55708 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55696 and 55708, than apply into the LCM equation.

GCF(55696,55708) = 4
LCM(55696,55708) = ( 55696 × 55708) / 4
LCM(55696,55708) = 3102712768 / 4
LCM(55696,55708) = 775678192

Least Common Multiple (LCM) of 55696 and 55708 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55696 and 55708. First we will calculate the prime factors of 55696 and 55708.

Prime Factorization of 55696

Prime Factorization of 55708

Now multiplying the highest exponent prime factors to calculate the LCM of 55696 and 55708.

LCM(55696,55708) = 2⁴ × 59² × 19¹ × 733¹
LCM(55696,55708) = 775678192