What is the Least Common Multiple of 79443 and 79453?

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 79443 and 79453 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79443 and 79453, than apply into the LCM equation.

GCF(79443,79453) = 1
LCM(79443,79453) = ( 79443 × 79453) / 1
LCM(79443,79453) = 6311984679 / 1
LCM(79443,79453) = 6311984679

Least Common Multiple (LCM) of 79443 and 79453 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79443 and 79453. First we will calculate the prime factors of 79443 and 79453.

Prime Factorization of 79443

Prime Factorization of 79453

Now multiplying the highest exponent prime factors to calculate the LCM of 79443 and 79453.

LCM(79443,79453) = 3² × 7¹ × 13¹ × 97¹ × 11¹ × 31¹ × 233¹
LCM(79443,79453) = 6311984679