What is the Least Common Multiple of 65814 and 65828?

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 65814 and 65828 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65814 and 65828, than apply into the LCM equation.

GCF(65814,65828) = 14
LCM(65814,65828) = ( 65814 × 65828) / 14
LCM(65814,65828) = 4332403992 / 14
LCM(65814,65828) = 309457428

Least Common Multiple (LCM) of 65814 and 65828 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65814 and 65828. First we will calculate the prime factors of 65814 and 65828.

Prime Factorization of 65814

Prime Factorization of 65828

Now multiplying the highest exponent prime factors to calculate the LCM of 65814 and 65828.

LCM(65814,65828) = 2² × 3¹ × 7¹ × 1567¹ × 2351¹
LCM(65814,65828) = 309457428