What is the Least Common Multiple of 96664 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 96664 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 96664 and 96670, than apply into the LCM equation.

GCF(96664,96670) = 2
LCM(96664,96670) = ( 96664 × 96670) / 2
LCM(96664,96670) = 9344508880 / 2
LCM(96664,96670) = 4672254440

Least Common Multiple (LCM) of 96664 and 96670 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96664 and 96670. First we will calculate the prime factors of 96664 and 96670.

Prime Factorization of 96664

Prime Factorization of 96670

Now multiplying the highest exponent prime factors to calculate the LCM of 96664 and 96670.

LCM(96664,96670) = 2³ × 43¹ × 281¹ × 5¹ × 7¹ × 1381¹
LCM(96664,96670) = 4672254440