What is the Least Common Multiple of 44394 and 44408?

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 44394 and 44408 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44394 and 44408, than apply into the LCM equation.

GCF(44394,44408) = 14
LCM(44394,44408) = ( 44394 × 44408) / 14
LCM(44394,44408) = 1971448752 / 14
LCM(44394,44408) = 140817768

Least Common Multiple (LCM) of 44394 and 44408 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44394 and 44408. First we will calculate the prime factors of 44394 and 44408.

Prime Factorization of 44394

Prime Factorization of 44408

Now multiplying the highest exponent prime factors to calculate the LCM of 44394 and 44408.

LCM(44394,44408) = 2³ × 3¹ × 7² × 151¹ × 13¹ × 61¹
LCM(44394,44408) = 140817768