What is the Least Common Multiple of 99510 and 99514?

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 99510 and 99514 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99510 and 99514, than apply into the LCM equation.

GCF(99510,99514) = 2
LCM(99510,99514) = ( 99510 × 99514) / 2
LCM(99510,99514) = 9902638140 / 2
LCM(99510,99514) = 4951319070

Least Common Multiple (LCM) of 99510 and 99514 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99510 and 99514. First we will calculate the prime factors of 99510 and 99514.

Prime Factorization of 99510

Prime Factorization of 99514

Now multiplying the highest exponent prime factors to calculate the LCM of 99510 and 99514.

LCM(99510,99514) = 2¹ × 3¹ × 5¹ × 31¹ × 107¹ × 49757¹
LCM(99510,99514) = 4951319070