What is the Least Common Multiple of 32704 and 32722?

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 32722 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 32722, than apply into the LCM equation.

GCF(32704,32722) = 2
LCM(32704,32722) = ( 32704 × 32722) / 2
LCM(32704,32722) = 1070140288 / 2
LCM(32704,32722) = 535070144

Least Common Multiple (LCM) of 32704 and 32722 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32704 and 32722. First we will calculate the prime factors of 32704 and 32722.

Prime Factorization of 32704

Prime Factorization of 32722

Now multiplying the highest exponent prime factors to calculate the LCM of 32704 and 32722.

LCM(32704,32722) = 2⁶ × 7¹ × 73¹ × 16361¹
LCM(32704,32722) = 535070144