What is the Least Common Multiple of 44065 and 44085?

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 44065 and 44085 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44065 and 44085, than apply into the LCM equation.

GCF(44065,44085) = 5
LCM(44065,44085) = ( 44065 × 44085) / 5
LCM(44065,44085) = 1942605525 / 5
LCM(44065,44085) = 388521105

Least Common Multiple (LCM) of 44065 and 44085 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44065 and 44085. First we will calculate the prime factors of 44065 and 44085.

Prime Factorization of 44065

Prime Factorization of 44085

Now multiplying the highest exponent prime factors to calculate the LCM of 44065 and 44085.

LCM(44065,44085) = 5¹ × 7¹ × 1259¹ × 3¹ × 2939¹
LCM(44065,44085) = 388521105