What is the Least Common Multiple of 5145 and 5155?

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 5145 and 5155 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5145 and 5155, than apply into the LCM equation.

GCF(5145,5155) = 5
LCM(5145,5155) = ( 5145 × 5155) / 5
LCM(5145,5155) = 26522475 / 5
LCM(5145,5155) = 5304495

Least Common Multiple (LCM) of 5145 and 5155 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5145 and 5155. First we will calculate the prime factors of 5145 and 5155.

Prime Factorization of 5145

Prime Factorization of 5155

Now multiplying the highest exponent prime factors to calculate the LCM of 5145 and 5155.

LCM(5145,5155) = 3¹ × 5¹ × 7³ × 1031¹
LCM(5145,5155) = 5304495