What is the Least Common Multiple of 90705 and 90713?

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 90705 and 90713 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90705 and 90713, than apply into the LCM equation.

GCF(90705,90713) = 1
LCM(90705,90713) = ( 90705 × 90713) / 1
LCM(90705,90713) = 8228122665 / 1
LCM(90705,90713) = 8228122665

Least Common Multiple (LCM) of 90705 and 90713 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90705 and 90713. First we will calculate the prime factors of 90705 and 90713.

Prime Factorization of 90705

Prime Factorization of 90713

Now multiplying the highest exponent prime factors to calculate the LCM of 90705 and 90713.

LCM(90705,90713) = 3¹ × 5¹ × 6047¹ × 7¹ × 12959¹
LCM(90705,90713) = 8228122665