What is the Least Common Multiple of 48477 and 48486?

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 48477 and 48486 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48477 and 48486, than apply into the LCM equation.

GCF(48477,48486) = 3
LCM(48477,48486) = ( 48477 × 48486) / 3
LCM(48477,48486) = 2350455822 / 3
LCM(48477,48486) = 783485274

Least Common Multiple (LCM) of 48477 and 48486 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48477 and 48486. First we will calculate the prime factors of 48477 and 48486.

Prime Factorization of 48477

Prime Factorization of 48486

Now multiplying the highest exponent prime factors to calculate the LCM of 48477 and 48486.

LCM(48477,48486) = 3¹ × 11¹ × 13¹ × 113¹ × 2¹ × 8081¹
LCM(48477,48486) = 783485274