What is the Least Common Multiple of 42630 and 42643?

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 42630 and 42643 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42630 and 42643, than apply into the LCM equation.

GCF(42630,42643) = 1
LCM(42630,42643) = ( 42630 × 42643) / 1
LCM(42630,42643) = 1817871090 / 1
LCM(42630,42643) = 1817871090

Least Common Multiple (LCM) of 42630 and 42643 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42630 and 42643. First we will calculate the prime factors of 42630 and 42643.

Prime Factorization of 42630

Prime Factorization of 42643

Now multiplying the highest exponent prime factors to calculate the LCM of 42630 and 42643.

LCM(42630,42643) = 2¹ × 3¹ × 5¹ × 7² × 29¹ × 42643¹
LCM(42630,42643) = 1817871090