What is the Least Common Multiple of 68705 and 68712?

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 68705 and 68712 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68705 and 68712, than apply into the LCM equation.

GCF(68705,68712) = 7
LCM(68705,68712) = ( 68705 × 68712) / 7
LCM(68705,68712) = 4720857960 / 7
LCM(68705,68712) = 674408280

Least Common Multiple (LCM) of 68705 and 68712 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68705 and 68712. First we will calculate the prime factors of 68705 and 68712.

Prime Factorization of 68705

Prime Factorization of 68712

Now multiplying the highest exponent prime factors to calculate the LCM of 68705 and 68712.

LCM(68705,68712) = 5¹ × 7¹ × 13¹ × 151¹ × 2³ × 3¹ × 409¹
LCM(68705,68712) = 674408280