What is the Least Common Multiple of 96030 and 96045?

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 96045 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 96045, than apply into the LCM equation.

GCF(96030,96045) = 15
LCM(96030,96045) = ( 96030 × 96045) / 15
LCM(96030,96045) = 9223201350 / 15
LCM(96030,96045) = 614880090

Least Common Multiple (LCM) of 96030 and 96045 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96030 and 96045. First we will calculate the prime factors of 96030 and 96045.

Prime Factorization of 96030

Prime Factorization of 96045

Now multiplying the highest exponent prime factors to calculate the LCM of 96030 and 96045.

LCM(96030,96045) = 2¹ × 3² × 5¹ × 11¹ × 97¹ × 19¹ × 337¹
LCM(96030,96045) = 614880090