What is the Least Common Multiple of 42633 and 42642?

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 42642 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 42642, than apply into the LCM equation.

GCF(42633,42642) = 9
LCM(42633,42642) = ( 42633 × 42642) / 9
LCM(42633,42642) = 1817956386 / 9
LCM(42633,42642) = 201995154

Least Common Multiple (LCM) of 42633 and 42642 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42633 and 42642. First we will calculate the prime factors of 42633 and 42642.

Prime Factorization of 42633

Prime Factorization of 42642

Now multiplying the highest exponent prime factors to calculate the LCM of 42633 and 42642.

LCM(42633,42642) = 3³ × 1579¹ × 2¹ × 23¹ × 103¹
LCM(42633,42642) = 201995154