What is the Least Common Multiple of 68172 and 68185?

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 68172 and 68185 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68172 and 68185, than apply into the LCM equation.

GCF(68172,68185) = 13
LCM(68172,68185) = ( 68172 × 68185) / 13
LCM(68172,68185) = 4648307820 / 13
LCM(68172,68185) = 357562140

Least Common Multiple (LCM) of 68172 and 68185 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68172 and 68185. First we will calculate the prime factors of 68172 and 68185.

Prime Factorization of 68172

Prime Factorization of 68185

Now multiplying the highest exponent prime factors to calculate the LCM of 68172 and 68185.

LCM(68172,68185) = 2² × 3¹ × 13¹ × 19¹ × 23¹ × 5¹ × 1049¹
LCM(68172,68185) = 357562140