What is the Least Common Multiple of 65484 and 65499?

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 65484 and 65499 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65484 and 65499, than apply into the LCM equation.

GCF(65484,65499) = 3
LCM(65484,65499) = ( 65484 × 65499) / 3
LCM(65484,65499) = 4289136516 / 3
LCM(65484,65499) = 1429712172

Least Common Multiple (LCM) of 65484 and 65499 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65484 and 65499. First we will calculate the prime factors of 65484 and 65499.

Prime Factorization of 65484

Prime Factorization of 65499

Now multiplying the highest exponent prime factors to calculate the LCM of 65484 and 65499.

LCM(65484,65499) = 2² × 3² × 17¹ × 107¹ × 7¹ × 3119¹
LCM(65484,65499) = 1429712172