What is the Least Common Multiple of 79288 and 79296?

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 79288 and 79296 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79288 and 79296, than apply into the LCM equation.

GCF(79288,79296) = 8
LCM(79288,79296) = ( 79288 × 79296) / 8
LCM(79288,79296) = 6287221248 / 8
LCM(79288,79296) = 785902656

Least Common Multiple (LCM) of 79288 and 79296 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79288 and 79296. First we will calculate the prime factors of 79288 and 79296.

Prime Factorization of 79288

Prime Factorization of 79296

Now multiplying the highest exponent prime factors to calculate the LCM of 79288 and 79296.

LCM(79288,79296) = 2⁶ × 11¹ × 17¹ × 53¹ × 3¹ × 7¹ × 59¹
LCM(79288,79296) = 785902656