What is the Least Common Multiple of 44112 and 44117?

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 44112 and 44117 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44112 and 44117, than apply into the LCM equation.

GCF(44112,44117) = 1
LCM(44112,44117) = ( 44112 × 44117) / 1
LCM(44112,44117) = 1946089104 / 1
LCM(44112,44117) = 1946089104

Least Common Multiple (LCM) of 44112 and 44117 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44112 and 44117. First we will calculate the prime factors of 44112 and 44117.

Prime Factorization of 44112

Prime Factorization of 44117

Now multiplying the highest exponent prime factors to calculate the LCM of 44112 and 44117.

LCM(44112,44117) = 2⁴ × 3¹ × 919¹ × 157¹ × 281¹
LCM(44112,44117) = 1946089104