What is the Least Common Multiple of 83629 and 83641?

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 83641 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 83641, than apply into the LCM equation.

GCF(83629,83641) = 1
LCM(83629,83641) = ( 83629 × 83641) / 1
LCM(83629,83641) = 6994813189 / 1
LCM(83629,83641) = 6994813189

Least Common Multiple (LCM) of 83629 and 83641 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83629 and 83641. First we will calculate the prime factors of 83629 and 83641.

Prime Factorization of 83629

Prime Factorization of 83641

Now multiplying the highest exponent prime factors to calculate the LCM of 83629 and 83641.

LCM(83629,83641) = 7¹ × 13¹ × 919¹ × 83641¹
LCM(83629,83641) = 6994813189