What is the Least Common Multiple of 68575 and 68588?

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 68575 and 68588 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68575 and 68588, than apply into the LCM equation.

GCF(68575,68588) = 13
LCM(68575,68588) = ( 68575 × 68588) / 13
LCM(68575,68588) = 4703422100 / 13
LCM(68575,68588) = 361801700

Least Common Multiple (LCM) of 68575 and 68588 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68575 and 68588. First we will calculate the prime factors of 68575 and 68588.

Prime Factorization of 68575

Prime Factorization of 68588

Now multiplying the highest exponent prime factors to calculate the LCM of 68575 and 68588.

LCM(68575,68588) = 5² × 13¹ × 211¹ × 2² × 1319¹
LCM(68575,68588) = 361801700