What is the Least Common Multiple of 99760 and 99775?

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 99760 and 99775 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99760 and 99775, than apply into the LCM equation.

GCF(99760,99775) = 5
LCM(99760,99775) = ( 99760 × 99775) / 5
LCM(99760,99775) = 9953554000 / 5
LCM(99760,99775) = 1990710800

Least Common Multiple (LCM) of 99760 and 99775 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99760 and 99775. First we will calculate the prime factors of 99760 and 99775.

Prime Factorization of 99760

Prime Factorization of 99775

Now multiplying the highest exponent prime factors to calculate the LCM of 99760 and 99775.

LCM(99760,99775) = 2⁴ × 5² × 29¹ × 43¹ × 13¹ × 307¹
LCM(99760,99775) = 1990710800