What is the Least Common Multiple of 55864 and 55874?

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 55864 and 55874 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55864 and 55874, than apply into the LCM equation.

GCF(55864,55874) = 2
LCM(55864,55874) = ( 55864 × 55874) / 2
LCM(55864,55874) = 3121345136 / 2
LCM(55864,55874) = 1560672568

Least Common Multiple (LCM) of 55864 and 55874 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55864 and 55874. First we will calculate the prime factors of 55864 and 55874.

Prime Factorization of 55864

Prime Factorization of 55874

Now multiplying the highest exponent prime factors to calculate the LCM of 55864 and 55874.

LCM(55864,55874) = 2³ × 6983¹ × 7¹ × 13¹ × 307¹
LCM(55864,55874) = 1560672568