What is the Least Common Multiple of 79296 and 79305?

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 79296 and 79305 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79296 and 79305, than apply into the LCM equation.

GCF(79296,79305) = 3
LCM(79296,79305) = ( 79296 × 79305) / 3
LCM(79296,79305) = 6288569280 / 3
LCM(79296,79305) = 2096189760

Least Common Multiple (LCM) of 79296 and 79305 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79296 and 79305. First we will calculate the prime factors of 79296 and 79305.

Prime Factorization of 79296

Prime Factorization of 79305

Now multiplying the highest exponent prime factors to calculate the LCM of 79296 and 79305.

LCM(79296,79305) = 2⁶ × 3¹ × 7¹ × 59¹ × 5¹ × 17¹ × 311¹
LCM(79296,79305) = 2096189760