What is the Least Common Multiple of 84762 and 84778?

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 84762 and 84778 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84762 and 84778, than apply into the LCM equation.

GCF(84762,84778) = 2
LCM(84762,84778) = ( 84762 × 84778) / 2
LCM(84762,84778) = 7185952836 / 2
LCM(84762,84778) = 3592976418

Least Common Multiple (LCM) of 84762 and 84778 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84762 and 84778. First we will calculate the prime factors of 84762 and 84778.

Prime Factorization of 84762

Prime Factorization of 84778

Now multiplying the highest exponent prime factors to calculate the LCM of 84762 and 84778.

LCM(84762,84778) = 2¹ × 3² × 17¹ × 277¹ × 19¹ × 23¹ × 97¹
LCM(84762,84778) = 3592976418