What is the Least Common Multiple of 67172 and 67182?

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 67172 and 67182 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67172 and 67182, than apply into the LCM equation.

GCF(67172,67182) = 2
LCM(67172,67182) = ( 67172 × 67182) / 2
LCM(67172,67182) = 4512749304 / 2
LCM(67172,67182) = 2256374652

Least Common Multiple (LCM) of 67172 and 67182 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67172 and 67182. First we will calculate the prime factors of 67172 and 67182.

Prime Factorization of 67172

Prime Factorization of 67182

Now multiplying the highest exponent prime factors to calculate the LCM of 67172 and 67182.

LCM(67172,67182) = 2² × 7¹ × 2399¹ × 3¹ × 11197¹
LCM(67172,67182) = 2256374652