What is the Least Common Multiple of 96906 and 96915?

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 96906 and 96915 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96906 and 96915, than apply into the LCM equation.

GCF(96906,96915) = 3
LCM(96906,96915) = ( 96906 × 96915) / 3
LCM(96906,96915) = 9391644990 / 3
LCM(96906,96915) = 3130548330

Least Common Multiple (LCM) of 96906 and 96915 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96906 and 96915. First we will calculate the prime factors of 96906 and 96915.

Prime Factorization of 96906

Prime Factorization of 96915

Now multiplying the highest exponent prime factors to calculate the LCM of 96906 and 96915.

LCM(96906,96915) = 2¹ × 3¹ × 31¹ × 521¹ × 5¹ × 7¹ × 13¹ × 71¹
LCM(96906,96915) = 3130548330