What is the Least Common Multiple of 96045 and 96051?

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 96045 and 96051 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96045 and 96051, than apply into the LCM equation.

GCF(96045,96051) = 3
LCM(96045,96051) = ( 96045 × 96051) / 3
LCM(96045,96051) = 9225218295 / 3
LCM(96045,96051) = 3075072765

Least Common Multiple (LCM) of 96045 and 96051 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96045 and 96051. First we will calculate the prime factors of 96045 and 96051.

Prime Factorization of 96045

Prime Factorization of 96051

Now multiplying the highest exponent prime factors to calculate the LCM of 96045 and 96051.

LCM(96045,96051) = 3¹ × 5¹ × 19¹ × 337¹ × 101¹ × 317¹
LCM(96045,96051) = 3075072765