What is the Least Common Multiple of 38280 and 38296?

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 38280 and 38296 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38280 and 38296, than apply into the LCM equation.

GCF(38280,38296) = 8
LCM(38280,38296) = ( 38280 × 38296) / 8
LCM(38280,38296) = 1465970880 / 8
LCM(38280,38296) = 183246360

Least Common Multiple (LCM) of 38280 and 38296 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38280 and 38296. First we will calculate the prime factors of 38280 and 38296.

Prime Factorization of 38280

Prime Factorization of 38296

Now multiplying the highest exponent prime factors to calculate the LCM of 38280 and 38296.

LCM(38280,38296) = 2³ × 3¹ × 5¹ × 11¹ × 29¹ × 4787¹
LCM(38280,38296) = 183246360