What is the Least Common Multiple of 79361 and 79372?

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 79361 and 79372 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79361 and 79372, than apply into the LCM equation.

GCF(79361,79372) = 1
LCM(79361,79372) = ( 79361 × 79372) / 1
LCM(79361,79372) = 6299041292 / 1
LCM(79361,79372) = 6299041292

Least Common Multiple (LCM) of 79361 and 79372 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79361 and 79372. First we will calculate the prime factors of 79361 and 79372.

Prime Factorization of 79361

Prime Factorization of 79372

Now multiplying the highest exponent prime factors to calculate the LCM of 79361 and 79372.

LCM(79361,79372) = 61¹ × 1301¹ × 2² × 19843¹
LCM(79361,79372) = 6299041292