What is the Least Common Multiple of 21634 and 21642?

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 21634 and 21642 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21634 and 21642, than apply into the LCM equation.

GCF(21634,21642) = 2
LCM(21634,21642) = ( 21634 × 21642) / 2
LCM(21634,21642) = 468203028 / 2
LCM(21634,21642) = 234101514

Least Common Multiple (LCM) of 21634 and 21642 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21634 and 21642. First we will calculate the prime factors of 21634 and 21642.

Prime Factorization of 21634

Prime Factorization of 21642

Now multiplying the highest exponent prime factors to calculate the LCM of 21634 and 21642.

LCM(21634,21642) = 2¹ × 29¹ × 373¹ × 3¹ × 3607¹
LCM(21634,21642) = 234101514