What is the Least Common Multiple of 44408 and 44415?

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 44408 and 44415 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44408 and 44415, than apply into the LCM equation.

GCF(44408,44415) = 7
LCM(44408,44415) = ( 44408 × 44415) / 7
LCM(44408,44415) = 1972381320 / 7
LCM(44408,44415) = 281768760

Least Common Multiple (LCM) of 44408 and 44415 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44408 and 44415. First we will calculate the prime factors of 44408 and 44415.

Prime Factorization of 44408

Prime Factorization of 44415

Now multiplying the highest exponent prime factors to calculate the LCM of 44408 and 44415.

LCM(44408,44415) = 2³ × 7¹ × 13¹ × 61¹ × 3³ × 5¹ × 47¹
LCM(44408,44415) = 281768760