What is the Least Common Multiple of 95820 and 95835?

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 95820 and 95835 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95820 and 95835, than apply into the LCM equation.

GCF(95820,95835) = 15
LCM(95820,95835) = ( 95820 × 95835) / 15
LCM(95820,95835) = 9182909700 / 15
LCM(95820,95835) = 612193980

Least Common Multiple (LCM) of 95820 and 95835 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95820 and 95835. First we will calculate the prime factors of 95820 and 95835.

Prime Factorization of 95820

Prime Factorization of 95835

Now multiplying the highest exponent prime factors to calculate the LCM of 95820 and 95835.

LCM(95820,95835) = 2² × 3¹ × 5¹ × 1597¹ × 6389¹
LCM(95820,95835) = 612193980