What is the Least Common Multiple of 98792 and 98805?

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 98792 and 98805 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98792 and 98805, than apply into the LCM equation.

GCF(98792,98805) = 1
LCM(98792,98805) = ( 98792 × 98805) / 1
LCM(98792,98805) = 9761143560 / 1
LCM(98792,98805) = 9761143560

Least Common Multiple (LCM) of 98792 and 98805 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98792 and 98805. First we will calculate the prime factors of 98792 and 98805.

Prime Factorization of 98792

Prime Factorization of 98805

Now multiplying the highest exponent prime factors to calculate the LCM of 98792 and 98805.

LCM(98792,98805) = 2³ × 53¹ × 233¹ × 3¹ × 5¹ × 7¹ × 941¹
LCM(98792,98805) = 9761143560