What is the Least Common Multiple of 87820 and 87835?

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 87820 and 87835 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87820 and 87835, than apply into the LCM equation.

GCF(87820,87835) = 5
LCM(87820,87835) = ( 87820 × 87835) / 5
LCM(87820,87835) = 7713669700 / 5
LCM(87820,87835) = 1542733940

Least Common Multiple (LCM) of 87820 and 87835 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87820 and 87835. First we will calculate the prime factors of 87820 and 87835.

Prime Factorization of 87820

Prime Factorization of 87835

Now multiplying the highest exponent prime factors to calculate the LCM of 87820 and 87835.

LCM(87820,87835) = 2² × 5¹ × 4391¹ × 11¹ × 1597¹
LCM(87820,87835) = 1542733940