What is the Least Common Multiple of 93708 and 93719?

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 93708 and 93719 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93708 and 93719, than apply into the LCM equation.

GCF(93708,93719) = 1
LCM(93708,93719) = ( 93708 × 93719) / 1
LCM(93708,93719) = 8782220052 / 1
LCM(93708,93719) = 8782220052

Least Common Multiple (LCM) of 93708 and 93719 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93708 and 93719. First we will calculate the prime factors of 93708 and 93719.

Prime Factorization of 93708

Prime Factorization of 93719

Now multiplying the highest exponent prime factors to calculate the LCM of 93708 and 93719.

LCM(93708,93719) = 2² × 3² × 19¹ × 137¹ × 93719¹
LCM(93708,93719) = 8782220052