What is the Least Common Multiple of 44142 and 44149?

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 44142 and 44149 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44142 and 44149, than apply into the LCM equation.

GCF(44142,44149) = 7
LCM(44142,44149) = ( 44142 × 44149) / 7
LCM(44142,44149) = 1948825158 / 7
LCM(44142,44149) = 278403594

Least Common Multiple (LCM) of 44142 and 44149 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44142 and 44149. First we will calculate the prime factors of 44142 and 44149.

Prime Factorization of 44142

Prime Factorization of 44149

Now multiplying the highest exponent prime factors to calculate the LCM of 44142 and 44149.

LCM(44142,44149) = 2¹ × 3¹ × 7² × 1051¹ × 17¹ × 53¹
LCM(44142,44149) = 278403594