What is the Least Common Multiple of 84758 and 84762?

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 84758 and 84762 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84758 and 84762, than apply into the LCM equation.

GCF(84758,84762) = 2
LCM(84758,84762) = ( 84758 × 84762) / 2
LCM(84758,84762) = 7184257596 / 2
LCM(84758,84762) = 3592128798

Least Common Multiple (LCM) of 84758 and 84762 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84758 and 84762. First we will calculate the prime factors of 84758 and 84762.

Prime Factorization of 84758

Prime Factorization of 84762

Now multiplying the highest exponent prime factors to calculate the LCM of 84758 and 84762.

LCM(84758,84762) = 2¹ × 42379¹ × 3² × 17¹ × 277¹
LCM(84758,84762) = 3592128798