What is the Least Common Multiple of 96670 and 96688?

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 96670 and 96688 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96670 and 96688, than apply into the LCM equation.

GCF(96670,96688) = 2
LCM(96670,96688) = ( 96670 × 96688) / 2
LCM(96670,96688) = 9346828960 / 2
LCM(96670,96688) = 4673414480

Least Common Multiple (LCM) of 96670 and 96688 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96670 and 96688. First we will calculate the prime factors of 96670 and 96688.

Prime Factorization of 96670

Prime Factorization of 96688

Now multiplying the highest exponent prime factors to calculate the LCM of 96670 and 96688.

LCM(96670,96688) = 2⁴ × 5¹ × 7¹ × 1381¹ × 6043¹
LCM(96670,96688) = 4673414480