What is the Least Common Multiple of 96030 and 96038?

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 96030 and 96038 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96030 and 96038, than apply into the LCM equation.

GCF(96030,96038) = 2
LCM(96030,96038) = ( 96030 × 96038) / 2
LCM(96030,96038) = 9222529140 / 2
LCM(96030,96038) = 4611264570

Least Common Multiple (LCM) of 96030 and 96038 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96030 and 96038. First we will calculate the prime factors of 96030 and 96038.

Prime Factorization of 96030

Prime Factorization of 96038

Now multiplying the highest exponent prime factors to calculate the LCM of 96030 and 96038.

LCM(96030,96038) = 2¹ × 3² × 5¹ × 11¹ × 97¹ × 31¹ × 1549¹
LCM(96030,96038) = 4611264570