What is the Least Common Multiple of 83564 and 83575?

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 83564 and 83575 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83564 and 83575, than apply into the LCM equation.

GCF(83564,83575) = 1
LCM(83564,83575) = ( 83564 × 83575) / 1
LCM(83564,83575) = 6983861300 / 1
LCM(83564,83575) = 6983861300

Least Common Multiple (LCM) of 83564 and 83575 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83564 and 83575. First we will calculate the prime factors of 83564 and 83575.

Prime Factorization of 83564

Prime Factorization of 83575

Now multiplying the highest exponent prime factors to calculate the LCM of 83564 and 83575.

LCM(83564,83575) = 2² × 13¹ × 1607¹ × 5² × 3343¹
LCM(83564,83575) = 6983861300