What is the Least Common Multiple of 88709 and 88713?

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 88709 and 88713 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88709 and 88713, than apply into the LCM equation.

GCF(88709,88713) = 1
LCM(88709,88713) = ( 88709 × 88713) / 1
LCM(88709,88713) = 7869641517 / 1
LCM(88709,88713) = 7869641517

Least Common Multiple (LCM) of 88709 and 88713 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88709 and 88713. First we will calculate the prime factors of 88709 and 88713.

Prime Factorization of 88709

Prime Factorization of 88713

Now multiplying the highest exponent prime factors to calculate the LCM of 88709 and 88713.

LCM(88709,88713) = 43¹ × 2063¹ × 3² × 9857¹
LCM(88709,88713) = 7869641517