What is the Least Common Multiple of 82760 and 82780?

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 82760 and 82780 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82760 and 82780, than apply into the LCM equation.

GCF(82760,82780) = 20
LCM(82760,82780) = ( 82760 × 82780) / 20
LCM(82760,82780) = 6850872800 / 20
LCM(82760,82780) = 342543640

Least Common Multiple (LCM) of 82760 and 82780 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82760 and 82780. First we will calculate the prime factors of 82760 and 82780.

Prime Factorization of 82760

Prime Factorization of 82780

Now multiplying the highest exponent prime factors to calculate the LCM of 82760 and 82780.

LCM(82760,82780) = 2³ × 5¹ × 2069¹ × 4139¹
LCM(82760,82780) = 342543640