What is the Least Common Multiple of 98754 and 98760?

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 98754 and 98760 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98754 and 98760, than apply into the LCM equation.

GCF(98754,98760) = 6
LCM(98754,98760) = ( 98754 × 98760) / 6
LCM(98754,98760) = 9752945040 / 6
LCM(98754,98760) = 1625490840

Least Common Multiple (LCM) of 98754 and 98760 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98754 and 98760. First we will calculate the prime factors of 98754 and 98760.

Prime Factorization of 98754

Prime Factorization of 98760

Now multiplying the highest exponent prime factors to calculate the LCM of 98754 and 98760.

LCM(98754,98760) = 2³ × 3¹ × 109¹ × 151¹ × 5¹ × 823¹
LCM(98754,98760) = 1625490840