What is the Least Common Multiple of 50982 and 50998?

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 50982 and 50998 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50982 and 50998, than apply into the LCM equation.

GCF(50982,50998) = 2
LCM(50982,50998) = ( 50982 × 50998) / 2
LCM(50982,50998) = 2599980036 / 2
LCM(50982,50998) = 1299990018

Least Common Multiple (LCM) of 50982 and 50998 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50982 and 50998. First we will calculate the prime factors of 50982 and 50998.

Prime Factorization of 50982

Prime Factorization of 50998

Now multiplying the highest exponent prime factors to calculate the LCM of 50982 and 50998.

LCM(50982,50998) = 2¹ × 3¹ × 29¹ × 293¹ × 43¹ × 593¹
LCM(50982,50998) = 1299990018