What is the Least Common Multiple of 76042 and 76051?

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 76042 and 76051 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76042 and 76051, than apply into the LCM equation.

GCF(76042,76051) = 1
LCM(76042,76051) = ( 76042 × 76051) / 1
LCM(76042,76051) = 5783070142 / 1
LCM(76042,76051) = 5783070142

Least Common Multiple (LCM) of 76042 and 76051 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76042 and 76051. First we will calculate the prime factors of 76042 and 76051.

Prime Factorization of 76042

Prime Factorization of 76051

Now multiplying the highest exponent prime factors to calculate the LCM of 76042 and 76051.

LCM(76042,76051) = 2¹ × 193¹ × 197¹ × 59¹ × 1289¹
LCM(76042,76051) = 5783070142