What is the Least Common Multiple of 5475 and 5495?

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 5495 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 5495, than apply into the LCM equation.

GCF(5475,5495) = 5
LCM(5475,5495) = ( 5475 × 5495) / 5
LCM(5475,5495) = 30085125 / 5
LCM(5475,5495) = 6017025

Least Common Multiple (LCM) of 5475 and 5495 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5475 and 5495. First we will calculate the prime factors of 5475 and 5495.

Prime Factorization of 5475

Prime Factorization of 5495

Now multiplying the highest exponent prime factors to calculate the LCM of 5475 and 5495.

LCM(5475,5495) = 3¹ × 5² × 73¹ × 7¹ × 157¹
LCM(5475,5495) = 6017025