What is the Least Common Multiple of 42840 and 42855?

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 42840 and 42855 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42840 and 42855, than apply into the LCM equation.

GCF(42840,42855) = 15
LCM(42840,42855) = ( 42840 × 42855) / 15
LCM(42840,42855) = 1835908200 / 15
LCM(42840,42855) = 122393880

Least Common Multiple (LCM) of 42840 and 42855 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42840 and 42855. First we will calculate the prime factors of 42840 and 42855.

Prime Factorization of 42840

Prime Factorization of 42855

Now multiplying the highest exponent prime factors to calculate the LCM of 42840 and 42855.

LCM(42840,42855) = 2³ × 3² × 5¹ × 7¹ × 17¹ × 2857¹
LCM(42840,42855) = 122393880