What is the Least Common Multiple of 79413 and 79431?

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 79413 and 79431 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79413 and 79431, than apply into the LCM equation.

GCF(79413,79431) = 3
LCM(79413,79431) = ( 79413 × 79431) / 3
LCM(79413,79431) = 6307854003 / 3
LCM(79413,79431) = 2102618001

Least Common Multiple (LCM) of 79413 and 79431 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79413 and 79431. First we will calculate the prime factors of 79413 and 79431.

Prime Factorization of 79413

Prime Factorization of 79431

Now multiplying the highest exponent prime factors to calculate the LCM of 79413 and 79431.

LCM(79413,79431) = 3¹ × 103¹ × 257¹ × 11¹ × 29¹ × 83¹
LCM(79413,79431) = 2102618001