What is the Least Common Multiple of 53145 and 53164?

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 53145 and 53164 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53145 and 53164, than apply into the LCM equation.

GCF(53145,53164) = 1
LCM(53145,53164) = ( 53145 × 53164) / 1
LCM(53145,53164) = 2825400780 / 1
LCM(53145,53164) = 2825400780

Least Common Multiple (LCM) of 53145 and 53164 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53145 and 53164. First we will calculate the prime factors of 53145 and 53164.

Prime Factorization of 53145

Prime Factorization of 53164

Now multiplying the highest exponent prime factors to calculate the LCM of 53145 and 53164.

LCM(53145,53164) = 3² × 5¹ × 1181¹ × 2² × 13291¹
LCM(53145,53164) = 2825400780