What is the Least Common Multiple of 31802 and 31820?

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 31802 and 31820 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31802 and 31820, than apply into the LCM equation.

GCF(31802,31820) = 2
LCM(31802,31820) = ( 31802 × 31820) / 2
LCM(31802,31820) = 1011939640 / 2
LCM(31802,31820) = 505969820

Least Common Multiple (LCM) of 31802 and 31820 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31802 and 31820. First we will calculate the prime factors of 31802 and 31820.

Prime Factorization of 31802

Prime Factorization of 31820

Now multiplying the highest exponent prime factors to calculate the LCM of 31802 and 31820.

LCM(31802,31820) = 2² × 15901¹ × 5¹ × 37¹ × 43¹
LCM(31802,31820) = 505969820