What is the Least Common Multiple of 30635 and 30641?

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 30635 and 30641 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30635 and 30641, than apply into the LCM equation.

GCF(30635,30641) = 1
LCM(30635,30641) = ( 30635 × 30641) / 1
LCM(30635,30641) = 938687035 / 1
LCM(30635,30641) = 938687035

Least Common Multiple (LCM) of 30635 and 30641 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30635 and 30641. First we will calculate the prime factors of 30635 and 30641.

Prime Factorization of 30635

Prime Factorization of 30641

Now multiplying the highest exponent prime factors to calculate the LCM of 30635 and 30641.

LCM(30635,30641) = 5¹ × 11¹ × 557¹ × 13¹ × 2357¹
LCM(30635,30641) = 938687035