What is the Least Common Multiple of 45258 and 45263?

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 45258 and 45263 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45258 and 45263, than apply into the LCM equation.

GCF(45258,45263) = 1
LCM(45258,45263) = ( 45258 × 45263) / 1
LCM(45258,45263) = 2048512854 / 1
LCM(45258,45263) = 2048512854

Least Common Multiple (LCM) of 45258 and 45263 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45258 and 45263. First we will calculate the prime factors of 45258 and 45263.

Prime Factorization of 45258

Prime Factorization of 45263

Now multiplying the highest exponent prime factors to calculate the LCM of 45258 and 45263.

LCM(45258,45263) = 2¹ × 3¹ × 19¹ × 397¹ × 45263¹
LCM(45258,45263) = 2048512854