What is the Least Common Multiple of 82758 and 82762?

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 82758 and 82762 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82758 and 82762, than apply into the LCM equation.

GCF(82758,82762) = 2
LCM(82758,82762) = ( 82758 × 82762) / 2
LCM(82758,82762) = 6849217596 / 2
LCM(82758,82762) = 3424608798

Least Common Multiple (LCM) of 82758 and 82762 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82758 and 82762. First we will calculate the prime factors of 82758 and 82762.

Prime Factorization of 82758

Prime Factorization of 82762

Now multiplying the highest exponent prime factors to calculate the LCM of 82758 and 82762.

LCM(82758,82762) = 2¹ × 3¹ × 13¹ × 1061¹ × 41381¹
LCM(82758,82762) = 3424608798