What is the Least Common Multiple of 48945 and 48954?

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 48945 and 48954 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48945 and 48954, than apply into the LCM equation.

GCF(48945,48954) = 3
LCM(48945,48954) = ( 48945 × 48954) / 3
LCM(48945,48954) = 2396053530 / 3
LCM(48945,48954) = 798684510

Least Common Multiple (LCM) of 48945 and 48954 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48945 and 48954. First we will calculate the prime factors of 48945 and 48954.

Prime Factorization of 48945

Prime Factorization of 48954

Now multiplying the highest exponent prime factors to calculate the LCM of 48945 and 48954.

LCM(48945,48954) = 3¹ × 5¹ × 13¹ × 251¹ × 2¹ × 41¹ × 199¹
LCM(48945,48954) = 798684510