What is the Least Common Multiple of 82783 and 82802?

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 82783 and 82802 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82783 and 82802, than apply into the LCM equation.

GCF(82783,82802) = 19
LCM(82783,82802) = ( 82783 × 82802) / 19
LCM(82783,82802) = 6854597966 / 19
LCM(82783,82802) = 360768314

Least Common Multiple (LCM) of 82783 and 82802 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82783 and 82802. First we will calculate the prime factors of 82783 and 82802.

Prime Factorization of 82783

Prime Factorization of 82802

Now multiplying the highest exponent prime factors to calculate the LCM of 82783 and 82802.

LCM(82783,82802) = 19¹ × 4357¹ × 2¹ × 2179¹
LCM(82783,82802) = 360768314