What is the Least Common Multiple of 65414 and 65431?

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 65414 and 65431 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65414 and 65431, than apply into the LCM equation.

GCF(65414,65431) = 1
LCM(65414,65431) = ( 65414 × 65431) / 1
LCM(65414,65431) = 4280103434 / 1
LCM(65414,65431) = 4280103434

Least Common Multiple (LCM) of 65414 and 65431 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65414 and 65431. First we will calculate the prime factors of 65414 and 65431.

Prime Factorization of 65414

Prime Factorization of 65431

Now multiplying the highest exponent prime factors to calculate the LCM of 65414 and 65431.

LCM(65414,65431) = 2¹ × 32707¹ × 59¹ × 1109¹
LCM(65414,65431) = 4280103434