What is the Least Common Multiple of 65116 and 65128?

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 65116 and 65128 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65116 and 65128, than apply into the LCM equation.

GCF(65116,65128) = 4
LCM(65116,65128) = ( 65116 × 65128) / 4
LCM(65116,65128) = 4240874848 / 4
LCM(65116,65128) = 1060218712

Least Common Multiple (LCM) of 65116 and 65128 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65116 and 65128. First we will calculate the prime factors of 65116 and 65128.

Prime Factorization of 65116

Prime Factorization of 65128

Now multiplying the highest exponent prime factors to calculate the LCM of 65116 and 65128.

LCM(65116,65128) = 2³ × 73¹ × 223¹ × 7¹ × 1163¹
LCM(65116,65128) = 1060218712