What is the Least Common Multiple of 32704 and 32719?

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 32704 and 32719 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32704 and 32719, than apply into the LCM equation.

GCF(32704,32719) = 1
LCM(32704,32719) = ( 32704 × 32719) / 1
LCM(32704,32719) = 1070042176 / 1
LCM(32704,32719) = 1070042176

Least Common Multiple (LCM) of 32704 and 32719 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32704 and 32719. First we will calculate the prime factors of 32704 and 32719.

Prime Factorization of 32704

Prime Factorization of 32719

Now multiplying the highest exponent prime factors to calculate the LCM of 32704 and 32719.

LCM(32704,32719) = 2⁶ × 7¹ × 73¹ × 32719¹
LCM(32704,32719) = 1070042176