What is the Least Common Multiple of 44080 and 44090?

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 44080 and 44090 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44080 and 44090, than apply into the LCM equation.

GCF(44080,44090) = 10
LCM(44080,44090) = ( 44080 × 44090) / 10
LCM(44080,44090) = 1943487200 / 10
LCM(44080,44090) = 194348720

Least Common Multiple (LCM) of 44080 and 44090 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44080 and 44090. First we will calculate the prime factors of 44080 and 44090.

Prime Factorization of 44080

Prime Factorization of 44090

Now multiplying the highest exponent prime factors to calculate the LCM of 44080 and 44090.

LCM(44080,44090) = 2⁴ × 5¹ × 19¹ × 29¹ × 4409¹
LCM(44080,44090) = 194348720