What is the Least Common Multiple of 5475 and 5481?

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 5475 and 5481 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5475 and 5481, than apply into the LCM equation.

GCF(5475,5481) = 3
LCM(5475,5481) = ( 5475 × 5481) / 3
LCM(5475,5481) = 30008475 / 3
LCM(5475,5481) = 10002825

Least Common Multiple (LCM) of 5475 and 5481 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5475 and 5481. First we will calculate the prime factors of 5475 and 5481.

Prime Factorization of 5475

Prime Factorization of 5481

Now multiplying the highest exponent prime factors to calculate the LCM of 5475 and 5481.

LCM(5475,5481) = 3³ × 5² × 73¹ × 7¹ × 29¹
LCM(5475,5481) = 10002825