What is the Least Common Multiple of 48936 and 48945?

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 48936 and 48945 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48936 and 48945, than apply into the LCM equation.

GCF(48936,48945) = 3
LCM(48936,48945) = ( 48936 × 48945) / 3
LCM(48936,48945) = 2395172520 / 3
LCM(48936,48945) = 798390840

Least Common Multiple (LCM) of 48936 and 48945 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48936 and 48945. First we will calculate the prime factors of 48936 and 48945.

Prime Factorization of 48936

Prime Factorization of 48945

Now multiplying the highest exponent prime factors to calculate the LCM of 48936 and 48945.

LCM(48936,48945) = 2³ × 3¹ × 2039¹ × 5¹ × 13¹ × 251¹
LCM(48936,48945) = 798390840