What is the Least Common Multiple of 42628 and 42644?

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 42628 and 42644 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42628 and 42644, than apply into the LCM equation.

GCF(42628,42644) = 4
LCM(42628,42644) = ( 42628 × 42644) / 4
LCM(42628,42644) = 1817828432 / 4
LCM(42628,42644) = 454457108

Least Common Multiple (LCM) of 42628 and 42644 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42628 and 42644. First we will calculate the prime factors of 42628 and 42644.

Prime Factorization of 42628

Prime Factorization of 42644

Now multiplying the highest exponent prime factors to calculate the LCM of 42628 and 42644.

LCM(42628,42644) = 2² × 10657¹ × 7¹ × 1523¹
LCM(42628,42644) = 454457108