What is the Least Common Multiple of 6288 and 6305?

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 6288 and 6305 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6288 and 6305, than apply into the LCM equation.

GCF(6288,6305) = 1
LCM(6288,6305) = ( 6288 × 6305) / 1
LCM(6288,6305) = 39645840 / 1
LCM(6288,6305) = 39645840

Least Common Multiple (LCM) of 6288 and 6305 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6288 and 6305. First we will calculate the prime factors of 6288 and 6305.

Prime Factorization of 6288

Prime Factorization of 6305

Now multiplying the highest exponent prime factors to calculate the LCM of 6288 and 6305.

LCM(6288,6305) = 2⁴ × 3¹ × 131¹ × 5¹ × 13¹ × 97¹
LCM(6288,6305) = 39645840