What is the Least Common Multiple of 79296 and 79301?

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 79301 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 79301, than apply into the LCM equation.

GCF(79296,79301) = 1
LCM(79296,79301) = ( 79296 × 79301) / 1
LCM(79296,79301) = 6288252096 / 1
LCM(79296,79301) = 6288252096

Least Common Multiple (LCM) of 79296 and 79301 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79296 and 79301. First we will calculate the prime factors of 79296 and 79301.

Prime Factorization of 79296

Prime Factorization of 79301

Now multiplying the highest exponent prime factors to calculate the LCM of 79296 and 79301.

LCM(79296,79301) = 2⁶ × 3¹ × 7¹ × 59¹ × 79301¹
LCM(79296,79301) = 6288252096