What is the Least Common Multiple of 35678 and 35688?

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 35678 and 35688 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35678 and 35688, than apply into the LCM equation.

GCF(35678,35688) = 2
LCM(35678,35688) = ( 35678 × 35688) / 2
LCM(35678,35688) = 1273276464 / 2
LCM(35678,35688) = 636638232

Least Common Multiple (LCM) of 35678 and 35688 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35678 and 35688. First we will calculate the prime factors of 35678 and 35688.

Prime Factorization of 35678

Prime Factorization of 35688

Now multiplying the highest exponent prime factors to calculate the LCM of 35678 and 35688.

LCM(35678,35688) = 2³ × 17839¹ × 3¹ × 1487¹
LCM(35678,35688) = 636638232