What is the Least Common Multiple of 61295 and 61308?

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 61295 and 61308 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61295 and 61308, than apply into the LCM equation.

GCF(61295,61308) = 13
LCM(61295,61308) = ( 61295 × 61308) / 13
LCM(61295,61308) = 3757873860 / 13
LCM(61295,61308) = 289067220

Least Common Multiple (LCM) of 61295 and 61308 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61295 and 61308. First we will calculate the prime factors of 61295 and 61308.

Prime Factorization of 61295

Prime Factorization of 61308

Now multiplying the highest exponent prime factors to calculate the LCM of 61295 and 61308.

LCM(61295,61308) = 5¹ × 13¹ × 23¹ × 41¹ × 2² × 3² × 131¹
LCM(61295,61308) = 289067220