What is the Least Common Multiple of 31417 and 31436?

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 31417 and 31436 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31417 and 31436, than apply into the LCM equation.

GCF(31417,31436) = 1
LCM(31417,31436) = ( 31417 × 31436) / 1
LCM(31417,31436) = 987624812 / 1
LCM(31417,31436) = 987624812

Least Common Multiple (LCM) of 31417 and 31436 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31417 and 31436. First we will calculate the prime factors of 31417 and 31436.

Prime Factorization of 31417

Prime Factorization of 31436

Now multiplying the highest exponent prime factors to calculate the LCM of 31417 and 31436.

LCM(31417,31436) = 89¹ × 353¹ × 2² × 29¹ × 271¹
LCM(31417,31436) = 987624812