What is the Least Common Multiple of 68451 and 68457?

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 68451 and 68457 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68451 and 68457, than apply into the LCM equation.

GCF(68451,68457) = 3
LCM(68451,68457) = ( 68451 × 68457) / 3
LCM(68451,68457) = 4685950107 / 3
LCM(68451,68457) = 1561983369

Least Common Multiple (LCM) of 68451 and 68457 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68451 and 68457. First we will calculate the prime factors of 68451 and 68457.

Prime Factorization of 68451

Prime Factorization of 68457

Now multiplying the highest exponent prime factors to calculate the LCM of 68451 and 68457.

LCM(68451,68457) = 3¹ × 22817¹ × 19¹ × 1201¹
LCM(68451,68457) = 1561983369