What is the Least Common Multiple of 99418 and 99437?

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 99418 and 99437 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99418 and 99437, than apply into the LCM equation.

GCF(99418,99437) = 1
LCM(99418,99437) = ( 99418 × 99437) / 1
LCM(99418,99437) = 9885827666 / 1
LCM(99418,99437) = 9885827666

Least Common Multiple (LCM) of 99418 and 99437 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99418 and 99437. First we will calculate the prime factors of 99418 and 99437.

Prime Factorization of 99418

Prime Factorization of 99437

Now multiplying the highest exponent prime factors to calculate the LCM of 99418 and 99437.

LCM(99418,99437) = 2¹ × 11¹ × 4519¹ × 13¹ × 7649¹
LCM(99418,99437) = 9885827666