What is the Least Common Multiple of 65632 and 65649?

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 65632 and 65649 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65632 and 65649, than apply into the LCM equation.

GCF(65632,65649) = 1
LCM(65632,65649) = ( 65632 × 65649) / 1
LCM(65632,65649) = 4308675168 / 1
LCM(65632,65649) = 4308675168

Least Common Multiple (LCM) of 65632 and 65649 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65632 and 65649. First we will calculate the prime factors of 65632 and 65649.

Prime Factorization of 65632

Prime Factorization of 65649

Now multiplying the highest exponent prime factors to calculate the LCM of 65632 and 65649.

LCM(65632,65649) = 2⁵ × 7¹ × 293¹ × 3¹ × 79¹ × 277¹
LCM(65632,65649) = 4308675168