What is the Least Common Multiple of 75998 and 76017?

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 75998 and 76017 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75998 and 76017, than apply into the LCM equation.

GCF(75998,76017) = 1
LCM(75998,76017) = ( 75998 × 76017) / 1
LCM(75998,76017) = 5777139966 / 1
LCM(75998,76017) = 5777139966

Least Common Multiple (LCM) of 75998 and 76017 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75998 and 76017. First we will calculate the prime factors of 75998 and 76017.

Prime Factorization of 75998

Prime Factorization of 76017

Now multiplying the highest exponent prime factors to calculate the LCM of 75998 and 76017.

LCM(75998,76017) = 2¹ × 13¹ × 37¹ × 79¹ × 3¹ × 25339¹
LCM(75998,76017) = 5777139966