What is the Least Common Multiple of 79705 and 79724?

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 79705 and 79724 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79705 and 79724, than apply into the LCM equation.

GCF(79705,79724) = 19
LCM(79705,79724) = ( 79705 × 79724) / 19
LCM(79705,79724) = 6354401420 / 19
LCM(79705,79724) = 334442180

Least Common Multiple (LCM) of 79705 and 79724 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79705 and 79724. First we will calculate the prime factors of 79705 and 79724.

Prime Factorization of 79705

Prime Factorization of 79724

Now multiplying the highest exponent prime factors to calculate the LCM of 79705 and 79724.

LCM(79705,79724) = 5¹ × 19¹ × 839¹ × 2² × 1049¹
LCM(79705,79724) = 334442180