What is the Least Common Multiple of 58820 and 58835?

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 58820 and 58835 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58820 and 58835, than apply into the LCM equation.

GCF(58820,58835) = 5
LCM(58820,58835) = ( 58820 × 58835) / 5
LCM(58820,58835) = 3460674700 / 5
LCM(58820,58835) = 692134940

Least Common Multiple (LCM) of 58820 and 58835 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58820 and 58835. First we will calculate the prime factors of 58820 and 58835.

Prime Factorization of 58820

Prime Factorization of 58835

Now multiplying the highest exponent prime factors to calculate the LCM of 58820 and 58835.

LCM(58820,58835) = 2² × 5¹ × 17¹ × 173¹ × 7¹ × 41²
LCM(58820,58835) = 692134940