What is the Least Common Multiple of 96105 and 96121?

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 96105 and 96121 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96105 and 96121, than apply into the LCM equation.

GCF(96105,96121) = 1
LCM(96105,96121) = ( 96105 × 96121) / 1
LCM(96105,96121) = 9237708705 / 1
LCM(96105,96121) = 9237708705

Least Common Multiple (LCM) of 96105 and 96121 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96105 and 96121. First we will calculate the prime factors of 96105 and 96121.

Prime Factorization of 96105

Prime Factorization of 96121

Now multiplying the highest exponent prime factors to calculate the LCM of 96105 and 96121.

LCM(96105,96121) = 3¹ × 5¹ × 43¹ × 149¹ × 19¹ × 5059¹
LCM(96105,96121) = 9237708705