What is the Least Common Multiple of 8749 and 8762?

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 8749 and 8762 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8749 and 8762, than apply into the LCM equation.

GCF(8749,8762) = 13
LCM(8749,8762) = ( 8749 × 8762) / 13
LCM(8749,8762) = 76658738 / 13
LCM(8749,8762) = 5896826

Least Common Multiple (LCM) of 8749 and 8762 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8749 and 8762. First we will calculate the prime factors of 8749 and 8762.

Prime Factorization of 8749

Prime Factorization of 8762

Now multiplying the highest exponent prime factors to calculate the LCM of 8749 and 8762.

LCM(8749,8762) = 13¹ × 673¹ × 2¹ × 337¹
LCM(8749,8762) = 5896826