What is the Least Common Multiple of 42228 and 42240?

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 42228 and 42240 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42228 and 42240, than apply into the LCM equation.

GCF(42228,42240) = 12
LCM(42228,42240) = ( 42228 × 42240) / 12
LCM(42228,42240) = 1783710720 / 12
LCM(42228,42240) = 148642560

Least Common Multiple (LCM) of 42228 and 42240 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42228 and 42240. First we will calculate the prime factors of 42228 and 42240.

Prime Factorization of 42228

Prime Factorization of 42240

Now multiplying the highest exponent prime factors to calculate the LCM of 42228 and 42240.

LCM(42228,42240) = 2⁸ × 3³ × 17¹ × 23¹ × 5¹ × 11¹
LCM(42228,42240) = 148642560