What is the Least Common Multiple of 55678 and 55696?

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 55678 and 55696 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55678 and 55696, than apply into the LCM equation.

GCF(55678,55696) = 2
LCM(55678,55696) = ( 55678 × 55696) / 2
LCM(55678,55696) = 3101041888 / 2
LCM(55678,55696) = 1550520944

Least Common Multiple (LCM) of 55678 and 55696 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55678 and 55696. First we will calculate the prime factors of 55678 and 55696.

Prime Factorization of 55678

Prime Factorization of 55696

Now multiplying the highest exponent prime factors to calculate the LCM of 55678 and 55696.

LCM(55678,55696) = 2⁴ × 7¹ × 41¹ × 97¹ × 59²
LCM(55678,55696) = 1550520944