What is the Least Common Multiple of 61275 and 61295?

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 61275 and 61295 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61275 and 61295, than apply into the LCM equation.

GCF(61275,61295) = 5
LCM(61275,61295) = ( 61275 × 61295) / 5
LCM(61275,61295) = 3755851125 / 5
LCM(61275,61295) = 751170225

Least Common Multiple (LCM) of 61275 and 61295 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61275 and 61295. First we will calculate the prime factors of 61275 and 61295.

Prime Factorization of 61275

Prime Factorization of 61295

Now multiplying the highest exponent prime factors to calculate the LCM of 61275 and 61295.

LCM(61275,61295) = 3¹ × 5² × 19¹ × 43¹ × 13¹ × 23¹ × 41¹
LCM(61275,61295) = 751170225