What is the Least Common Multiple of 31516 and 31534?

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 31516 and 31534 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31516 and 31534, than apply into the LCM equation.

GCF(31516,31534) = 2
LCM(31516,31534) = ( 31516 × 31534) / 2
LCM(31516,31534) = 993825544 / 2
LCM(31516,31534) = 496912772

Least Common Multiple (LCM) of 31516 and 31534 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31516 and 31534. First we will calculate the prime factors of 31516 and 31534.

Prime Factorization of 31516

Prime Factorization of 31534

Now multiplying the highest exponent prime factors to calculate the LCM of 31516 and 31534.

LCM(31516,31534) = 2² × 7879¹ × 15767¹
LCM(31516,31534) = 496912772