What is the Least Common Multiple of 53170 and 53188?

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 53170 and 53188 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53170 and 53188, than apply into the LCM equation.

GCF(53170,53188) = 2
LCM(53170,53188) = ( 53170 × 53188) / 2
LCM(53170,53188) = 2828005960 / 2
LCM(53170,53188) = 1414002980

Least Common Multiple (LCM) of 53170 and 53188 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53170 and 53188. First we will calculate the prime factors of 53170 and 53188.

Prime Factorization of 53170

Prime Factorization of 53188

Now multiplying the highest exponent prime factors to calculate the LCM of 53170 and 53188.

LCM(53170,53188) = 2² × 5¹ × 13¹ × 409¹ × 13297¹
LCM(53170,53188) = 1414002980