What is the Least Common Multiple of 44094 and 44105?

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 44094 and 44105 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44094 and 44105, than apply into the LCM equation.

GCF(44094,44105) = 1
LCM(44094,44105) = ( 44094 × 44105) / 1
LCM(44094,44105) = 1944765870 / 1
LCM(44094,44105) = 1944765870

Least Common Multiple (LCM) of 44094 and 44105 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44094 and 44105. First we will calculate the prime factors of 44094 and 44105.

Prime Factorization of 44094

Prime Factorization of 44105

Now multiplying the highest exponent prime factors to calculate the LCM of 44094 and 44105.

LCM(44094,44105) = 2¹ × 3¹ × 7349¹ × 5¹ × 8821¹
LCM(44094,44105) = 1944765870