What is the Least Common Multiple of 45240 and 45258?

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 45240 and 45258 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45240 and 45258, than apply into the LCM equation.

GCF(45240,45258) = 6
LCM(45240,45258) = ( 45240 × 45258) / 6
LCM(45240,45258) = 2047471920 / 6
LCM(45240,45258) = 341245320

Least Common Multiple (LCM) of 45240 and 45258 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45240 and 45258. First we will calculate the prime factors of 45240 and 45258.

Prime Factorization of 45240

Prime Factorization of 45258

Now multiplying the highest exponent prime factors to calculate the LCM of 45240 and 45258.

LCM(45240,45258) = 2³ × 3¹ × 5¹ × 13¹ × 29¹ × 19¹ × 397¹
LCM(45240,45258) = 341245320