What is the Least Common Multiple of 83802 and 83815?

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 83802 and 83815 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83802 and 83815, than apply into the LCM equation.

GCF(83802,83815) = 1
LCM(83802,83815) = ( 83802 × 83815) / 1
LCM(83802,83815) = 7023864630 / 1
LCM(83802,83815) = 7023864630

Least Common Multiple (LCM) of 83802 and 83815 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83802 and 83815. First we will calculate the prime factors of 83802 and 83815.

Prime Factorization of 83802

Prime Factorization of 83815

Now multiplying the highest exponent prime factors to calculate the LCM of 83802 and 83815.

LCM(83802,83815) = 2¹ × 3¹ × 13967¹ × 5¹ × 16763¹
LCM(83802,83815) = 7023864630