What is the Least Common Multiple of 96015 and 96030?

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 96015 and 96030 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96015 and 96030, than apply into the LCM equation.

GCF(96015,96030) = 15
LCM(96015,96030) = ( 96015 × 96030) / 15
LCM(96015,96030) = 9220320450 / 15
LCM(96015,96030) = 614688030

Least Common Multiple (LCM) of 96015 and 96030 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96015 and 96030. First we will calculate the prime factors of 96015 and 96030.

Prime Factorization of 96015

Prime Factorization of 96030

Now multiplying the highest exponent prime factors to calculate the LCM of 96015 and 96030.

LCM(96015,96030) = 3² × 5¹ × 37¹ × 173¹ × 2¹ × 11¹ × 97¹
LCM(96015,96030) = 614688030