What is the Least Common Multiple of 53414 and 53432?

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 53414 and 53432 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53414 and 53432, than apply into the LCM equation.

GCF(53414,53432) = 2
LCM(53414,53432) = ( 53414 × 53432) / 2
LCM(53414,53432) = 2854016848 / 2
LCM(53414,53432) = 1427008424

Least Common Multiple (LCM) of 53414 and 53432 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53414 and 53432. First we will calculate the prime factors of 53414 and 53432.

Prime Factorization of 53414

Prime Factorization of 53432

Now multiplying the highest exponent prime factors to calculate the LCM of 53414 and 53432.

LCM(53414,53432) = 2³ × 17¹ × 1571¹ × 6679¹
LCM(53414,53432) = 1427008424