What is the Least Common Multiple of 65064 and 65079?

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 65079 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 65079, than apply into the LCM equation.

GCF(65064,65079) = 3
LCM(65064,65079) = ( 65064 × 65079) / 3
LCM(65064,65079) = 4234300056 / 3
LCM(65064,65079) = 1411433352

Least Common Multiple (LCM) of 65064 and 65079 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65064 and 65079. First we will calculate the prime factors of 65064 and 65079.

Prime Factorization of 65064

Prime Factorization of 65079

Now multiplying the highest exponent prime factors to calculate the LCM of 65064 and 65079.

LCM(65064,65079) = 2³ × 3² × 2711¹ × 7¹ × 1033¹
LCM(65064,65079) = 1411433352