What is the Least Common Multiple of 99738 and 99758?

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 99738 and 99758 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99738 and 99758, than apply into the LCM equation.

GCF(99738,99758) = 2
LCM(99738,99758) = ( 99738 × 99758) / 2
LCM(99738,99758) = 9949663404 / 2
LCM(99738,99758) = 4974831702

Least Common Multiple (LCM) of 99738 and 99758 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99738 and 99758. First we will calculate the prime factors of 99738 and 99758.

Prime Factorization of 99738

Prime Factorization of 99758

Now multiplying the highest exponent prime factors to calculate the LCM of 99738 and 99758.

LCM(99738,99758) = 2¹ × 3³ × 1847¹ × 31¹ × 1609¹
LCM(99738,99758) = 4974831702