What is the Least Common Multiple of 99490 and 99506?

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 99490 and 99506 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99490 and 99506, than apply into the LCM equation.

GCF(99490,99506) = 2
LCM(99490,99506) = ( 99490 × 99506) / 2
LCM(99490,99506) = 9899851940 / 2
LCM(99490,99506) = 4949925970

Least Common Multiple (LCM) of 99490 and 99506 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99490 and 99506. First we will calculate the prime factors of 99490 and 99506.

Prime Factorization of 99490

Prime Factorization of 99506

Now multiplying the highest exponent prime factors to calculate the LCM of 99490 and 99506.

LCM(99490,99506) = 2¹ × 5¹ × 9949¹ × 11¹ × 4523¹
LCM(99490,99506) = 4949925970