What is the Least Common Multiple of 10486 and 10502?

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 10486 and 10502 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10486 and 10502, than apply into the LCM equation.

GCF(10486,10502) = 2
LCM(10486,10502) = ( 10486 × 10502) / 2
LCM(10486,10502) = 110123972 / 2
LCM(10486,10502) = 55061986

Least Common Multiple (LCM) of 10486 and 10502 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10486 and 10502. First we will calculate the prime factors of 10486 and 10502.

Prime Factorization of 10486

Prime Factorization of 10502

Now multiplying the highest exponent prime factors to calculate the LCM of 10486 and 10502.

LCM(10486,10502) = 2¹ × 7² × 107¹ × 59¹ × 89¹
LCM(10486,10502) = 55061986