What is the Least Common Multiple of 53430 and 53446?

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 53446 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 53446, than apply into the LCM equation.

GCF(53430,53446) = 2
LCM(53430,53446) = ( 53430 × 53446) / 2
LCM(53430,53446) = 2855619780 / 2
LCM(53430,53446) = 1427809890

Least Common Multiple (LCM) of 53430 and 53446 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53430 and 53446. First we will calculate the prime factors of 53430 and 53446.

Prime Factorization of 53430

Prime Factorization of 53446

Now multiplying the highest exponent prime factors to calculate the LCM of 53430 and 53446.

LCM(53430,53446) = 2¹ × 3¹ × 5¹ × 13¹ × 137¹ × 26723¹
LCM(53430,53446) = 1427809890