What is the Least Common Multiple of 53113 and 53132?

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 53113 and 53132 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53113 and 53132, than apply into the LCM equation.

GCF(53113,53132) = 1
LCM(53113,53132) = ( 53113 × 53132) / 1
LCM(53113,53132) = 2821999916 / 1
LCM(53113,53132) = 2821999916

Least Common Multiple (LCM) of 53113 and 53132 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53113 and 53132. First we will calculate the prime factors of 53113 and 53132.

Prime Factorization of 53113

Prime Factorization of 53132

Now multiplying the highest exponent prime factors to calculate the LCM of 53113 and 53132.

LCM(53113,53132) = 53113¹ × 2² × 37¹ × 359¹
LCM(53113,53132) = 2821999916