What is the Least Common Multiple of 8820 and 8830?

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 8820 and 8830 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8820 and 8830, than apply into the LCM equation.

GCF(8820,8830) = 10
LCM(8820,8830) = ( 8820 × 8830) / 10
LCM(8820,8830) = 77880600 / 10
LCM(8820,8830) = 7788060

Least Common Multiple (LCM) of 8820 and 8830 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8820 and 8830. First we will calculate the prime factors of 8820 and 8830.

Prime Factorization of 8820

Prime Factorization of 8830

Now multiplying the highest exponent prime factors to calculate the LCM of 8820 and 8830.

LCM(8820,8830) = 2² × 3² × 5¹ × 7² × 883¹
LCM(8820,8830) = 7788060