What is the Least Common Multiple of 55874 and 55880?

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 55874 and 55880 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55874 and 55880, than apply into the LCM equation.

GCF(55874,55880) = 2
LCM(55874,55880) = ( 55874 × 55880) / 2
LCM(55874,55880) = 3122239120 / 2
LCM(55874,55880) = 1561119560

Least Common Multiple (LCM) of 55874 and 55880 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55874 and 55880. First we will calculate the prime factors of 55874 and 55880.

Prime Factorization of 55874

Prime Factorization of 55880

Now multiplying the highest exponent prime factors to calculate the LCM of 55874 and 55880.

LCM(55874,55880) = 2³ × 7¹ × 13¹ × 307¹ × 5¹ × 11¹ × 127¹
LCM(55874,55880) = 1561119560