What is the Least Common Multiple of 53114 and 53128?

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 53114 and 53128 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53114 and 53128, than apply into the LCM equation.

GCF(53114,53128) = 2
LCM(53114,53128) = ( 53114 × 53128) / 2
LCM(53114,53128) = 2821840592 / 2
LCM(53114,53128) = 1410920296

Least Common Multiple (LCM) of 53114 and 53128 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53114 and 53128. First we will calculate the prime factors of 53114 and 53128.

Prime Factorization of 53114

Prime Factorization of 53128

Now multiplying the highest exponent prime factors to calculate the LCM of 53114 and 53128.

LCM(53114,53128) = 2³ × 26557¹ × 29¹ × 229¹
LCM(53114,53128) = 1410920296