What is the Least Common Multiple of 10514 and 10522?

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 10514 and 10522 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10514 and 10522, than apply into the LCM equation.

GCF(10514,10522) = 2
LCM(10514,10522) = ( 10514 × 10522) / 2
LCM(10514,10522) = 110628308 / 2
LCM(10514,10522) = 55314154

Least Common Multiple (LCM) of 10514 and 10522 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10514 and 10522. First we will calculate the prime factors of 10514 and 10522.

Prime Factorization of 10514

Prime Factorization of 10522

Now multiplying the highest exponent prime factors to calculate the LCM of 10514 and 10522.

LCM(10514,10522) = 2¹ × 7¹ × 751¹ × 5261¹
LCM(10514,10522) = 55314154