What is the Least Common Multiple of 83955 and 83965?

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 83955 and 83965 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83955 and 83965, than apply into the LCM equation.

GCF(83955,83965) = 5
LCM(83955,83965) = ( 83955 × 83965) / 5
LCM(83955,83965) = 7049281575 / 5
LCM(83955,83965) = 1409856315

Least Common Multiple (LCM) of 83955 and 83965 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83955 and 83965. First we will calculate the prime factors of 83955 and 83965.

Prime Factorization of 83955

Prime Factorization of 83965

Now multiplying the highest exponent prime factors to calculate the LCM of 83955 and 83965.

LCM(83955,83965) = 3¹ × 5¹ × 29¹ × 193¹ × 7¹ × 2399¹
LCM(83955,83965) = 1409856315