What is the Least Common Multiple of 32606 and 32620?

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 32606 and 32620 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32606 and 32620, than apply into the LCM equation.

GCF(32606,32620) = 14
LCM(32606,32620) = ( 32606 × 32620) / 14
LCM(32606,32620) = 1063607720 / 14
LCM(32606,32620) = 75971980

Least Common Multiple (LCM) of 32606 and 32620 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32606 and 32620. First we will calculate the prime factors of 32606 and 32620.

Prime Factorization of 32606

Prime Factorization of 32620

Now multiplying the highest exponent prime factors to calculate the LCM of 32606 and 32620.

LCM(32606,32620) = 2² × 7¹ × 17¹ × 137¹ × 5¹ × 233¹
LCM(32606,32620) = 75971980