What is the Least Common Multiple of 83635 and 83647?

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 83635 and 83647 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83635 and 83647, than apply into the LCM equation.

GCF(83635,83647) = 1
LCM(83635,83647) = ( 83635 × 83647) / 1
LCM(83635,83647) = 6995816845 / 1
LCM(83635,83647) = 6995816845

Least Common Multiple (LCM) of 83635 and 83647 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83635 and 83647. First we will calculate the prime factors of 83635 and 83647.

Prime Factorization of 83635

Prime Factorization of 83647

Now multiplying the highest exponent prime factors to calculate the LCM of 83635 and 83647.

LCM(83635,83647) = 5¹ × 43¹ × 389¹ × 233¹ × 359¹
LCM(83635,83647) = 6995816845