What is the Least Common Multiple of 38844 and 38853?

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 38844 and 38853 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38844 and 38853, than apply into the LCM equation.

GCF(38844,38853) = 9
LCM(38844,38853) = ( 38844 × 38853) / 9
LCM(38844,38853) = 1509205932 / 9
LCM(38844,38853) = 167689548

Least Common Multiple (LCM) of 38844 and 38853 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38844 and 38853. First we will calculate the prime factors of 38844 and 38853.

Prime Factorization of 38844

Prime Factorization of 38853

Now multiplying the highest exponent prime factors to calculate the LCM of 38844 and 38853.

LCM(38844,38853) = 2² × 3³ × 13¹ × 83¹ × 1439¹
LCM(38844,38853) = 167689548