What is the Least Common Multiple of 28820 and 28835?

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 28820 and 28835 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28820 and 28835, than apply into the LCM equation.

GCF(28820,28835) = 5
LCM(28820,28835) = ( 28820 × 28835) / 5
LCM(28820,28835) = 831024700 / 5
LCM(28820,28835) = 166204940

Least Common Multiple (LCM) of 28820 and 28835 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28820 and 28835. First we will calculate the prime factors of 28820 and 28835.

Prime Factorization of 28820

Prime Factorization of 28835

Now multiplying the highest exponent prime factors to calculate the LCM of 28820 and 28835.

LCM(28820,28835) = 2² × 5¹ × 11¹ × 131¹ × 73¹ × 79¹
LCM(28820,28835) = 166204940