What is the Least Common Multiple of 65301 and 65307?

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 65301 and 65307 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65301 and 65307, than apply into the LCM equation.

GCF(65301,65307) = 3
LCM(65301,65307) = ( 65301 × 65307) / 3
LCM(65301,65307) = 4264612407 / 3
LCM(65301,65307) = 1421537469

Least Common Multiple (LCM) of 65301 and 65307 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65301 and 65307. First we will calculate the prime factors of 65301 and 65307.

Prime Factorization of 65301

Prime Factorization of 65307

Now multiplying the highest exponent prime factors to calculate the LCM of 65301 and 65307.

LCM(65301,65307) = 3¹ × 21767¹ × 11¹ × 1979¹
LCM(65301,65307) = 1421537469