What is the Least Common Multiple of 81296 and 81305?

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 81296 and 81305 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81296 and 81305, than apply into the LCM equation.

GCF(81296,81305) = 1
LCM(81296,81305) = ( 81296 × 81305) / 1
LCM(81296,81305) = 6609771280 / 1
LCM(81296,81305) = 6609771280

Least Common Multiple (LCM) of 81296 and 81305 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81296 and 81305. First we will calculate the prime factors of 81296 and 81305.

Prime Factorization of 81296

Prime Factorization of 81305

Now multiplying the highest exponent prime factors to calculate the LCM of 81296 and 81305.

LCM(81296,81305) = 2⁴ × 5081¹ × 5¹ × 7¹ × 23¹ × 101¹
LCM(81296,81305) = 6609771280