What is the Least Common Multiple of 55692 and 55712?

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 55692 and 55712 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55692 and 55712, than apply into the LCM equation.

GCF(55692,55712) = 4
LCM(55692,55712) = ( 55692 × 55712) / 4
LCM(55692,55712) = 3102712704 / 4
LCM(55692,55712) = 775678176

Least Common Multiple (LCM) of 55692 and 55712 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55692 and 55712. First we will calculate the prime factors of 55692 and 55712.

Prime Factorization of 55692

Prime Factorization of 55712

Now multiplying the highest exponent prime factors to calculate the LCM of 55692 and 55712.

LCM(55692,55712) = 2⁵ × 3² × 7¹ × 13¹ × 17¹ × 1741¹
LCM(55692,55712) = 775678176