What is the Least Common Multiple of 53430 and 53440?

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 53430 and 53440 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53430 and 53440, than apply into the LCM equation.

GCF(53430,53440) = 10
LCM(53430,53440) = ( 53430 × 53440) / 10
LCM(53430,53440) = 2855299200 / 10
LCM(53430,53440) = 285529920

Least Common Multiple (LCM) of 53430 and 53440 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53430 and 53440. First we will calculate the prime factors of 53430 and 53440.

Prime Factorization of 53430

Prime Factorization of 53440

Now multiplying the highest exponent prime factors to calculate the LCM of 53430 and 53440.

LCM(53430,53440) = 2⁶ × 3¹ × 5¹ × 13¹ × 137¹ × 167¹
LCM(53430,53440) = 285529920