What is the Least Common Multiple of 8830 and 8850?

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 8830 and 8850 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8830 and 8850, than apply into the LCM equation.

GCF(8830,8850) = 10
LCM(8830,8850) = ( 8830 × 8850) / 10
LCM(8830,8850) = 78145500 / 10
LCM(8830,8850) = 7814550

Least Common Multiple (LCM) of 8830 and 8850 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8830 and 8850. First we will calculate the prime factors of 8830 and 8850.

Prime Factorization of 8830

Prime Factorization of 8850

Now multiplying the highest exponent prime factors to calculate the LCM of 8830 and 8850.

LCM(8830,8850) = 2¹ × 5² × 883¹ × 3¹ × 59¹
LCM(8830,8850) = 7814550