What is the Least Common Multiple of 48465 and 48475?

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 48465 and 48475 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48465 and 48475, than apply into the LCM equation.

GCF(48465,48475) = 5
LCM(48465,48475) = ( 48465 × 48475) / 5
LCM(48465,48475) = 2349340875 / 5
LCM(48465,48475) = 469868175

Least Common Multiple (LCM) of 48465 and 48475 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48465 and 48475. First we will calculate the prime factors of 48465 and 48475.

Prime Factorization of 48465

Prime Factorization of 48475

Now multiplying the highest exponent prime factors to calculate the LCM of 48465 and 48475.

LCM(48465,48475) = 3³ × 5² × 359¹ × 7¹ × 277¹
LCM(48465,48475) = 469868175