What is the Least Common Multiple of 69420 and 69440?

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 69420 and 69440 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69420 and 69440, than apply into the LCM equation.

GCF(69420,69440) = 20
LCM(69420,69440) = ( 69420 × 69440) / 20
LCM(69420,69440) = 4820524800 / 20
LCM(69420,69440) = 241026240

Least Common Multiple (LCM) of 69420 and 69440 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69420 and 69440. First we will calculate the prime factors of 69420 and 69440.

Prime Factorization of 69420

Prime Factorization of 69440

Now multiplying the highest exponent prime factors to calculate the LCM of 69420 and 69440.

LCM(69420,69440) = 2⁶ × 3¹ × 5¹ × 13¹ × 89¹ × 7¹ × 31¹
LCM(69420,69440) = 241026240