What is the Least Common Multiple of 10522 and 10540?

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 10522 and 10540 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10522 and 10540, than apply into the LCM equation.

GCF(10522,10540) = 2
LCM(10522,10540) = ( 10522 × 10540) / 2
LCM(10522,10540) = 110901880 / 2
LCM(10522,10540) = 55450940

Least Common Multiple (LCM) of 10522 and 10540 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10522 and 10540. First we will calculate the prime factors of 10522 and 10540.

Prime Factorization of 10522

Prime Factorization of 10540

Now multiplying the highest exponent prime factors to calculate the LCM of 10522 and 10540.

LCM(10522,10540) = 2² × 5261¹ × 5¹ × 17¹ × 31¹
LCM(10522,10540) = 55450940