What is the Least Common Multiple of 65398 and 65408?

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 65398 and 65408 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65398 and 65408, than apply into the LCM equation.

GCF(65398,65408) = 2
LCM(65398,65408) = ( 65398 × 65408) / 2
LCM(65398,65408) = 4277552384 / 2
LCM(65398,65408) = 2138776192

Least Common Multiple (LCM) of 65398 and 65408 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65398 and 65408. First we will calculate the prime factors of 65398 and 65408.

Prime Factorization of 65398

Prime Factorization of 65408

Now multiplying the highest exponent prime factors to calculate the LCM of 65398 and 65408.

LCM(65398,65408) = 2⁷ × 19¹ × 1721¹ × 7¹ × 73¹
LCM(65398,65408) = 2138776192