What is the Least Common Multiple of 83629 and 83642?

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 83629 and 83642 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83629 and 83642, than apply into the LCM equation.

GCF(83629,83642) = 13
LCM(83629,83642) = ( 83629 × 83642) / 13
LCM(83629,83642) = 6994896818 / 13
LCM(83629,83642) = 538068986

Least Common Multiple (LCM) of 83629 and 83642 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83629 and 83642. First we will calculate the prime factors of 83629 and 83642.

Prime Factorization of 83629

Prime Factorization of 83642

Now multiplying the highest exponent prime factors to calculate the LCM of 83629 and 83642.

LCM(83629,83642) = 7¹ × 13¹ × 919¹ × 2¹ × 3217¹
LCM(83629,83642) = 538068986