What is the Least Common Multiple of 75993 and 76006?

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 75993 and 76006 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75993 and 76006, than apply into the LCM equation.

GCF(75993,76006) = 1
LCM(75993,76006) = ( 75993 × 76006) / 1
LCM(75993,76006) = 5775923958 / 1
LCM(75993,76006) = 5775923958

Least Common Multiple (LCM) of 75993 and 76006 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75993 and 76006. First we will calculate the prime factors of 75993 and 76006.

Prime Factorization of 75993

Prime Factorization of 76006

Now multiplying the highest exponent prime factors to calculate the LCM of 75993 and 76006.

LCM(75993,76006) = 3¹ × 73¹ × 347¹ × 2¹ × 7¹ × 61¹ × 89¹
LCM(75993,76006) = 5775923958