What is the Least Common Multiple of 65064 and 65078?

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 65064 and 65078 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65064 and 65078, than apply into the LCM equation.

GCF(65064,65078) = 2
LCM(65064,65078) = ( 65064 × 65078) / 2
LCM(65064,65078) = 4234234992 / 2
LCM(65064,65078) = 2117117496

Least Common Multiple (LCM) of 65064 and 65078 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65064 and 65078. First we will calculate the prime factors of 65064 and 65078.

Prime Factorization of 65064

Prime Factorization of 65078

Now multiplying the highest exponent prime factors to calculate the LCM of 65064 and 65078.

LCM(65064,65078) = 2³ × 3¹ × 2711¹ × 13¹ × 2503¹
LCM(65064,65078) = 2117117496