What is the Least Common Multiple of 83754 and 83762?

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 83754 and 83762 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83754 and 83762, than apply into the LCM equation.

GCF(83754,83762) = 2
LCM(83754,83762) = ( 83754 × 83762) / 2
LCM(83754,83762) = 7015402548 / 2
LCM(83754,83762) = 3507701274

Least Common Multiple (LCM) of 83754 and 83762 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83754 and 83762. First we will calculate the prime factors of 83754 and 83762.

Prime Factorization of 83754

Prime Factorization of 83762

Now multiplying the highest exponent prime factors to calculate the LCM of 83754 and 83762.

LCM(83754,83762) = 2¹ × 3⁴ × 11¹ × 47¹ × 7¹ × 31¹ × 193¹
LCM(83754,83762) = 3507701274