What is the Least Common Multiple of 48880 and 48888?

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 48880 and 48888 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48880 and 48888, than apply into the LCM equation.

GCF(48880,48888) = 8
LCM(48880,48888) = ( 48880 × 48888) / 8
LCM(48880,48888) = 2389645440 / 8
LCM(48880,48888) = 298705680

Least Common Multiple (LCM) of 48880 and 48888 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48880 and 48888. First we will calculate the prime factors of 48880 and 48888.

Prime Factorization of 48880

Prime Factorization of 48888

Now multiplying the highest exponent prime factors to calculate the LCM of 48880 and 48888.

LCM(48880,48888) = 2⁴ × 5¹ × 13¹ × 47¹ × 3² × 7¹ × 97¹
LCM(48880,48888) = 298705680