What is the Least Common Multiple of 96657 and 96670?

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 96657 and 96670 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96657 and 96670, than apply into the LCM equation.

GCF(96657,96670) = 1
LCM(96657,96670) = ( 96657 × 96670) / 1
LCM(96657,96670) = 9343832190 / 1
LCM(96657,96670) = 9343832190

Least Common Multiple (LCM) of 96657 and 96670 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96657 and 96670. First we will calculate the prime factors of 96657 and 96670.

Prime Factorization of 96657

Prime Factorization of 96670

Now multiplying the highest exponent prime factors to calculate the LCM of 96657 and 96670.

LCM(96657,96670) = 3¹ × 11¹ × 29¹ × 101¹ × 2¹ × 5¹ × 7¹ × 1381¹
LCM(96657,96670) = 9343832190