What is the Least Common Multiple of 53140 and 53145?

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 53140 and 53145 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53140 and 53145, than apply into the LCM equation.

GCF(53140,53145) = 5
LCM(53140,53145) = ( 53140 × 53145) / 5
LCM(53140,53145) = 2824125300 / 5
LCM(53140,53145) = 564825060

Least Common Multiple (LCM) of 53140 and 53145 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53140 and 53145. First we will calculate the prime factors of 53140 and 53145.

Prime Factorization of 53140

Prime Factorization of 53145

Now multiplying the highest exponent prime factors to calculate the LCM of 53140 and 53145.

LCM(53140,53145) = 2² × 5¹ × 2657¹ × 3² × 1181¹
LCM(53140,53145) = 564825060