What is the Least Common Multiple of 65758 and 65776?

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 65758 and 65776 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65758 and 65776, than apply into the LCM equation.

GCF(65758,65776) = 2
LCM(65758,65776) = ( 65758 × 65776) / 2
LCM(65758,65776) = 4325298208 / 2
LCM(65758,65776) = 2162649104

Least Common Multiple (LCM) of 65758 and 65776 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65758 and 65776. First we will calculate the prime factors of 65758 and 65776.

Prime Factorization of 65758

Prime Factorization of 65776

Now multiplying the highest exponent prime factors to calculate the LCM of 65758 and 65776.

LCM(65758,65776) = 2⁴ × 7² × 11¹ × 61¹ × 4111¹
LCM(65758,65776) = 2162649104