What is the Least Common Multiple of 76058 and 76062?

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 76058 and 76062 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76058 and 76062, than apply into the LCM equation.

GCF(76058,76062) = 2
LCM(76058,76062) = ( 76058 × 76062) / 2
LCM(76058,76062) = 5785123596 / 2
LCM(76058,76062) = 2892561798

Least Common Multiple (LCM) of 76058 and 76062 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76058 and 76062. First we will calculate the prime factors of 76058 and 76062.

Prime Factorization of 76058

Prime Factorization of 76062

Now multiplying the highest exponent prime factors to calculate the LCM of 76058 and 76062.

LCM(76058,76062) = 2¹ × 17¹ × 2237¹ × 3¹ × 7¹ × 1811¹
LCM(76058,76062) = 2892561798