What is the Least Common Multiple of 32414 and 32431?

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 32414 and 32431 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32414 and 32431, than apply into the LCM equation.

GCF(32414,32431) = 1
LCM(32414,32431) = ( 32414 × 32431) / 1
LCM(32414,32431) = 1051218434 / 1
LCM(32414,32431) = 1051218434

Least Common Multiple (LCM) of 32414 and 32431 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32414 and 32431. First we will calculate the prime factors of 32414 and 32431.

Prime Factorization of 32414

Prime Factorization of 32431

Now multiplying the highest exponent prime factors to calculate the LCM of 32414 and 32431.

LCM(32414,32431) = 2¹ × 19¹ × 853¹ × 7¹ × 41¹ × 113¹
LCM(32414,32431) = 1051218434