What is the Least Common Multiple of 42633 and 42641?

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 42633 and 42641 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42633 and 42641, than apply into the LCM equation.

GCF(42633,42641) = 1
LCM(42633,42641) = ( 42633 × 42641) / 1
LCM(42633,42641) = 1817913753 / 1
LCM(42633,42641) = 1817913753

Least Common Multiple (LCM) of 42633 and 42641 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42633 and 42641. First we will calculate the prime factors of 42633 and 42641.

Prime Factorization of 42633

Prime Factorization of 42641

Now multiplying the highest exponent prime factors to calculate the LCM of 42633 and 42641.

LCM(42633,42641) = 3³ × 1579¹ × 42641¹
LCM(42633,42641) = 1817913753