What is the Least Common Multiple of 65749 and 65761?

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 65749 and 65761 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65749 and 65761, than apply into the LCM equation.

GCF(65749,65761) = 1
LCM(65749,65761) = ( 65749 × 65761) / 1
LCM(65749,65761) = 4323719989 / 1
LCM(65749,65761) = 4323719989

Least Common Multiple (LCM) of 65749 and 65761 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65749 and 65761. First we will calculate the prime factors of 65749 and 65761.

Prime Factorization of 65749

Prime Factorization of 65761

Now multiplying the highest exponent prime factors to calculate the LCM of 65749 and 65761.

LCM(65749,65761) = 37¹ × 1777¹ × 65761¹
LCM(65749,65761) = 4323719989