What is the Least Common Multiple of 73420 and 73440?

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 73420 and 73440 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73420 and 73440, than apply into the LCM equation.

GCF(73420,73440) = 20
LCM(73420,73440) = ( 73420 × 73440) / 20
LCM(73420,73440) = 5391964800 / 20
LCM(73420,73440) = 269598240

Least Common Multiple (LCM) of 73420 and 73440 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73420 and 73440. First we will calculate the prime factors of 73420 and 73440.

Prime Factorization of 73420

Prime Factorization of 73440

Now multiplying the highest exponent prime factors to calculate the LCM of 73420 and 73440.

LCM(73420,73440) = 2⁵ × 5¹ × 3671¹ × 3³ × 17¹
LCM(73420,73440) = 269598240