What is the Least Common Multiple of 30638 and 30642?

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 30638 and 30642 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30638 and 30642, than apply into the LCM equation.

GCF(30638,30642) = 2
LCM(30638,30642) = ( 30638 × 30642) / 2
LCM(30638,30642) = 938809596 / 2
LCM(30638,30642) = 469404798

Least Common Multiple (LCM) of 30638 and 30642 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30638 and 30642. First we will calculate the prime factors of 30638 and 30642.

Prime Factorization of 30638

Prime Factorization of 30642

Now multiplying the highest exponent prime factors to calculate the LCM of 30638 and 30642.

LCM(30638,30642) = 2¹ × 15319¹ × 3¹ × 5107¹
LCM(30638,30642) = 469404798