What is the Least Common Multiple of 76023 and 76043?

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 76023 and 76043 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76023 and 76043, than apply into the LCM equation.

GCF(76023,76043) = 1
LCM(76023,76043) = ( 76023 × 76043) / 1
LCM(76023,76043) = 5781016989 / 1
LCM(76023,76043) = 5781016989

Least Common Multiple (LCM) of 76023 and 76043 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76023 and 76043. First we will calculate the prime factors of 76023 and 76043.

Prime Factorization of 76023

Prime Factorization of 76043

Now multiplying the highest exponent prime factors to calculate the LCM of 76023 and 76043.

LCM(76023,76043) = 3² × 8447¹ × 11¹ × 31¹ × 223¹
LCM(76023,76043) = 5781016989