What is the Least Common Multiple of 53132 and 53143?

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 53132 and 53143 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53132 and 53143, than apply into the LCM equation.

GCF(53132,53143) = 1
LCM(53132,53143) = ( 53132 × 53143) / 1
LCM(53132,53143) = 2823593876 / 1
LCM(53132,53143) = 2823593876

Least Common Multiple (LCM) of 53132 and 53143 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53132 and 53143. First we will calculate the prime factors of 53132 and 53143.

Prime Factorization of 53132

Prime Factorization of 53143

Now multiplying the highest exponent prime factors to calculate the LCM of 53132 and 53143.

LCM(53132,53143) = 2² × 37¹ × 359¹ × 19¹ × 2797¹
LCM(53132,53143) = 2823593876