What is the Least Common Multiple of 96045 and 96055?

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 96055 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 96055, than apply into the LCM equation.

GCF(96045,96055) = 5
LCM(96045,96055) = ( 96045 × 96055) / 5
LCM(96045,96055) = 9225602475 / 5
LCM(96045,96055) = 1845120495

Least Common Multiple (LCM) of 96045 and 96055 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96045 and 96055. First we will calculate the prime factors of 96045 and 96055.

Prime Factorization of 96045

Prime Factorization of 96055

Now multiplying the highest exponent prime factors to calculate the LCM of 96045 and 96055.

LCM(96045,96055) = 3¹ × 5¹ × 19¹ × 337¹ × 19211¹
LCM(96045,96055) = 1845120495