What is the Least Common Multiple of 65607 and 65626?

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 65607 and 65626 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65607 and 65626, than apply into the LCM equation.

GCF(65607,65626) = 19
LCM(65607,65626) = ( 65607 × 65626) / 19
LCM(65607,65626) = 4305524982 / 19
LCM(65607,65626) = 226606578

Least Common Multiple (LCM) of 65607 and 65626 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65607 and 65626. First we will calculate the prime factors of 65607 and 65626.

Prime Factorization of 65607

Prime Factorization of 65626

Now multiplying the highest exponent prime factors to calculate the LCM of 65607 and 65626.

LCM(65607,65626) = 3¹ × 19¹ × 1151¹ × 2¹ × 11¹ × 157¹
LCM(65607,65626) = 226606578