What is the Least Common Multiple of 48865 and 48885?

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 48865 and 48885 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48865 and 48885, than apply into the LCM equation.

GCF(48865,48885) = 5
LCM(48865,48885) = ( 48865 × 48885) / 5
LCM(48865,48885) = 2388765525 / 5
LCM(48865,48885) = 477753105

Least Common Multiple (LCM) of 48865 and 48885 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48865 and 48885. First we will calculate the prime factors of 48865 and 48885.

Prime Factorization of 48865

Prime Factorization of 48885

Now multiplying the highest exponent prime factors to calculate the LCM of 48865 and 48885.

LCM(48865,48885) = 5¹ × 29¹ × 337¹ × 3¹ × 3259¹
LCM(48865,48885) = 477753105