What is the Least Common Multiple of 45255 and 45260?

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 45255 and 45260 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45255 and 45260, than apply into the LCM equation.

GCF(45255,45260) = 5
LCM(45255,45260) = ( 45255 × 45260) / 5
LCM(45255,45260) = 2048241300 / 5
LCM(45255,45260) = 409648260

Least Common Multiple (LCM) of 45255 and 45260 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45255 and 45260. First we will calculate the prime factors of 45255 and 45260.

Prime Factorization of 45255

Prime Factorization of 45260

Now multiplying the highest exponent prime factors to calculate the LCM of 45255 and 45260.

LCM(45255,45260) = 3¹ × 5¹ × 7¹ × 431¹ × 2² × 31¹ × 73¹
LCM(45255,45260) = 409648260