What is the Least Common Multiple of 99760 and 99780?

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 99780 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 99780, than apply into the LCM equation.

GCF(99760,99780) = 20
LCM(99760,99780) = ( 99760 × 99780) / 20
LCM(99760,99780) = 9954052800 / 20
LCM(99760,99780) = 497702640

Least Common Multiple (LCM) of 99760 and 99780 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99760 and 99780. First we will calculate the prime factors of 99760 and 99780.

Prime Factorization of 99760

Prime Factorization of 99780

Now multiplying the highest exponent prime factors to calculate the LCM of 99760 and 99780.

LCM(99760,99780) = 2⁴ × 5¹ × 29¹ × 43¹ × 3¹ × 1663¹
LCM(99760,99780) = 497702640