What is the Least Common Multiple of 55888 and 55895?

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 55888 and 55895 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55888 and 55895, than apply into the LCM equation.

GCF(55888,55895) = 7
LCM(55888,55895) = ( 55888 × 55895) / 7
LCM(55888,55895) = 3123859760 / 7
LCM(55888,55895) = 446265680

Least Common Multiple (LCM) of 55888 and 55895 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55888 and 55895. First we will calculate the prime factors of 55888 and 55895.

Prime Factorization of 55888

Prime Factorization of 55895

Now multiplying the highest exponent prime factors to calculate the LCM of 55888 and 55895.

LCM(55888,55895) = 2⁴ × 7¹ × 499¹ × 5¹ × 1597¹
LCM(55888,55895) = 446265680