What is the Least Common Multiple of 53412 and 53430?

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 53412 and 53430 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53412 and 53430, than apply into the LCM equation.

GCF(53412,53430) = 6
LCM(53412,53430) = ( 53412 × 53430) / 6
LCM(53412,53430) = 2853803160 / 6
LCM(53412,53430) = 475633860

Least Common Multiple (LCM) of 53412 and 53430 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53412 and 53430. First we will calculate the prime factors of 53412 and 53430.

Prime Factorization of 53412

Prime Factorization of 53430

Now multiplying the highest exponent prime factors to calculate the LCM of 53412 and 53430.

LCM(53412,53430) = 2² × 3¹ × 4451¹ × 5¹ × 13¹ × 137¹
LCM(53412,53430) = 475633860