What is the Least Common Multiple of 64983 and 64999?

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 64983 and 64999 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64983 and 64999, than apply into the LCM equation.

GCF(64983,64999) = 1
LCM(64983,64999) = ( 64983 × 64999) / 1
LCM(64983,64999) = 4223830017 / 1
LCM(64983,64999) = 4223830017

Least Common Multiple (LCM) of 64983 and 64999 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64983 and 64999. First we will calculate the prime factors of 64983 and 64999.

Prime Factorization of 64983

Prime Factorization of 64999

Now multiplying the highest exponent prime factors to calculate the LCM of 64983 and 64999.

LCM(64983,64999) = 3¹ × 21661¹ × 11¹ × 19¹ × 311¹
LCM(64983,64999) = 4223830017