What is the Least Common Multiple of 30617 and 30630?

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 30617 and 30630 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30617 and 30630, than apply into the LCM equation.

GCF(30617,30630) = 1
LCM(30617,30630) = ( 30617 × 30630) / 1
LCM(30617,30630) = 937798710 / 1
LCM(30617,30630) = 937798710

Least Common Multiple (LCM) of 30617 and 30630 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30617 and 30630. First we will calculate the prime factors of 30617 and 30630.

Prime Factorization of 30617

Prime Factorization of 30630

Now multiplying the highest exponent prime factors to calculate the LCM of 30617 and 30630.

LCM(30617,30630) = 17¹ × 1801¹ × 2¹ × 3¹ × 5¹ × 1021¹
LCM(30617,30630) = 937798710