What is the Least Common Multiple of 10282 and 10300?

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 10282 and 10300 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10282 and 10300, than apply into the LCM equation.

GCF(10282,10300) = 2
LCM(10282,10300) = ( 10282 × 10300) / 2
LCM(10282,10300) = 105904600 / 2
LCM(10282,10300) = 52952300

Least Common Multiple (LCM) of 10282 and 10300 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10282 and 10300. First we will calculate the prime factors of 10282 and 10300.

Prime Factorization of 10282

Prime Factorization of 10300

Now multiplying the highest exponent prime factors to calculate the LCM of 10282 and 10300.

LCM(10282,10300) = 2² × 53¹ × 97¹ × 5² × 103¹
LCM(10282,10300) = 52952300