What is the Least Common Multiple of 75996 and 76002?

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 75996 and 76002 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75996 and 76002, than apply into the LCM equation.

GCF(75996,76002) = 6
LCM(75996,76002) = ( 75996 × 76002) / 6
LCM(75996,76002) = 5775847992 / 6
LCM(75996,76002) = 962641332

Least Common Multiple (LCM) of 75996 and 76002 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75996 and 76002. First we will calculate the prime factors of 75996 and 76002.

Prime Factorization of 75996

Prime Factorization of 76002

Now multiplying the highest exponent prime factors to calculate the LCM of 75996 and 76002.

LCM(75996,76002) = 2² × 3² × 2111¹ × 53¹ × 239¹
LCM(75996,76002) = 962641332