What is the Least Common Multiple of 76412 and 76427?

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 76412 and 76427 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76412 and 76427, than apply into the LCM equation.

GCF(76412,76427) = 1
LCM(76412,76427) = ( 76412 × 76427) / 1
LCM(76412,76427) = 5839939924 / 1
LCM(76412,76427) = 5839939924

Least Common Multiple (LCM) of 76412 and 76427 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76412 and 76427. First we will calculate the prime factors of 76412 and 76427.

Prime Factorization of 76412

Prime Factorization of 76427

Now multiplying the highest exponent prime factors to calculate the LCM of 76412 and 76427.

LCM(76412,76427) = 2² × 7¹ × 2729¹ × 13¹ × 5879¹
LCM(76412,76427) = 5839939924