What is the Least Common Multiple of 41988 and 42008?

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 41988 and 42008 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41988 and 42008, than apply into the LCM equation.

GCF(41988,42008) = 4
LCM(41988,42008) = ( 41988 × 42008) / 4
LCM(41988,42008) = 1763831904 / 4
LCM(41988,42008) = 440957976

Least Common Multiple (LCM) of 41988 and 42008 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41988 and 42008. First we will calculate the prime factors of 41988 and 42008.

Prime Factorization of 41988

Prime Factorization of 42008

Now multiplying the highest exponent prime factors to calculate the LCM of 41988 and 42008.

LCM(41988,42008) = 2³ × 3¹ × 3499¹ × 59¹ × 89¹
LCM(41988,42008) = 440957976