What is the Least Common Multiple of 67688 and 67706?

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 67688 and 67706 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67688 and 67706, than apply into the LCM equation.

GCF(67688,67706) = 2
LCM(67688,67706) = ( 67688 × 67706) / 2
LCM(67688,67706) = 4582883728 / 2
LCM(67688,67706) = 2291441864

Least Common Multiple (LCM) of 67688 and 67706 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67688 and 67706. First we will calculate the prime factors of 67688 and 67706.

Prime Factorization of 67688

Prime Factorization of 67706

Now multiplying the highest exponent prime factors to calculate the LCM of 67688 and 67706.

LCM(67688,67706) = 2³ × 8461¹ × 97¹ × 349¹
LCM(67688,67706) = 2291441864