What is the Least Common Multiple of 72240 and 72258?

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 72240 and 72258 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72240 and 72258, than apply into the LCM equation.

GCF(72240,72258) = 6
LCM(72240,72258) = ( 72240 × 72258) / 6
LCM(72240,72258) = 5219917920 / 6
LCM(72240,72258) = 869986320

Least Common Multiple (LCM) of 72240 and 72258 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72240 and 72258. First we will calculate the prime factors of 72240 and 72258.

Prime Factorization of 72240

Prime Factorization of 72258

Now multiplying the highest exponent prime factors to calculate the LCM of 72240 and 72258.

LCM(72240,72258) = 2⁴ × 3¹ × 5¹ × 7¹ × 43¹ × 12043¹
LCM(72240,72258) = 869986320