What is the Least Common Multiple of 44408 and 44419?

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 44419 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 44419, than apply into the LCM equation.

GCF(44408,44419) = 1
LCM(44408,44419) = ( 44408 × 44419) / 1
LCM(44408,44419) = 1972558952 / 1
LCM(44408,44419) = 1972558952

Least Common Multiple (LCM) of 44408 and 44419 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44408 and 44419. First we will calculate the prime factors of 44408 and 44419.

Prime Factorization of 44408

Prime Factorization of 44419

Now multiplying the highest exponent prime factors to calculate the LCM of 44408 and 44419.

LCM(44408,44419) = 2³ × 7¹ × 13¹ × 61¹ × 43¹ × 1033¹
LCM(44408,44419) = 1972558952