What is the Least Common Multiple of 30606 and 30621?

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 30606 and 30621 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30606 and 30621, than apply into the LCM equation.

GCF(30606,30621) = 3
LCM(30606,30621) = ( 30606 × 30621) / 3
LCM(30606,30621) = 937186326 / 3
LCM(30606,30621) = 312395442

Least Common Multiple (LCM) of 30606 and 30621 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30606 and 30621. First we will calculate the prime factors of 30606 and 30621.

Prime Factorization of 30606

Prime Factorization of 30621

Now multiplying the highest exponent prime factors to calculate the LCM of 30606 and 30621.

LCM(30606,30621) = 2¹ × 3¹ × 5101¹ × 59¹ × 173¹
LCM(30606,30621) = 312395442