What is the Least Common Multiple of 51288 and 51305?

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 51288 and 51305 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51288 and 51305, than apply into the LCM equation.

GCF(51288,51305) = 1
LCM(51288,51305) = ( 51288 × 51305) / 1
LCM(51288,51305) = 2631330840 / 1
LCM(51288,51305) = 2631330840

Least Common Multiple (LCM) of 51288 and 51305 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51288 and 51305. First we will calculate the prime factors of 51288 and 51305.

Prime Factorization of 51288

Prime Factorization of 51305

Now multiplying the highest exponent prime factors to calculate the LCM of 51288 and 51305.

LCM(51288,51305) = 2³ × 3¹ × 2137¹ × 5¹ × 31¹ × 331¹
LCM(51288,51305) = 2631330840