What is the Least Common Multiple of 1275 and 1295?

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 1275 and 1295 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1275 and 1295, than apply into the LCM equation.

GCF(1275,1295) = 5
LCM(1275,1295) = ( 1275 × 1295) / 5
LCM(1275,1295) = 1651125 / 5
LCM(1275,1295) = 330225

Least Common Multiple (LCM) of 1275 and 1295 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1275 and 1295. First we will calculate the prime factors of 1275 and 1295.

Prime Factorization of 1275

Prime Factorization of 1295

Now multiplying the highest exponent prime factors to calculate the LCM of 1275 and 1295.

LCM(1275,1295) = 3¹ × 5² × 17¹ × 7¹ × 37¹
LCM(1275,1295) = 330225