What is the Least Common Multiple of 35678 and 35695?

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 35695 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 35695, than apply into the LCM equation.

GCF(35678,35695) = 1
LCM(35678,35695) = ( 35678 × 35695) / 1
LCM(35678,35695) = 1273526210 / 1
LCM(35678,35695) = 1273526210

Least Common Multiple (LCM) of 35678 and 35695 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35678 and 35695. First we will calculate the prime factors of 35678 and 35695.

Prime Factorization of 35678

Prime Factorization of 35695

Now multiplying the highest exponent prime factors to calculate the LCM of 35678 and 35695.

LCM(35678,35695) = 2¹ × 17839¹ × 5¹ × 11² × 59¹
LCM(35678,35695) = 1273526210