What is the Least Common Multiple of 44535 and 44554?

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 44535 and 44554 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44535 and 44554, than apply into the LCM equation.

GCF(44535,44554) = 1
LCM(44535,44554) = ( 44535 × 44554) / 1
LCM(44535,44554) = 1984212390 / 1
LCM(44535,44554) = 1984212390

Least Common Multiple (LCM) of 44535 and 44554 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44535 and 44554. First we will calculate the prime factors of 44535 and 44554.

Prime Factorization of 44535

Prime Factorization of 44554

Now multiplying the highest exponent prime factors to calculate the LCM of 44535 and 44554.

LCM(44535,44554) = 3¹ × 5¹ × 2969¹ × 2¹ × 22277¹
LCM(44535,44554) = 1984212390