What is the Least Common Multiple of 34638 and 34642?

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 34638 and 34642 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34638 and 34642, than apply into the LCM equation.

GCF(34638,34642) = 2
LCM(34638,34642) = ( 34638 × 34642) / 2
LCM(34638,34642) = 1199929596 / 2
LCM(34638,34642) = 599964798

Least Common Multiple (LCM) of 34638 and 34642 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34638 and 34642. First we will calculate the prime factors of 34638 and 34642.

Prime Factorization of 34638

Prime Factorization of 34642

Now multiplying the highest exponent prime factors to calculate the LCM of 34638 and 34642.

LCM(34638,34642) = 2¹ × 3¹ × 23¹ × 251¹ × 17321¹
LCM(34638,34642) = 599964798