What is the Least Common Multiple of 68820 and 68835?

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 68820 and 68835 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68820 and 68835, than apply into the LCM equation.

GCF(68820,68835) = 15
LCM(68820,68835) = ( 68820 × 68835) / 15
LCM(68820,68835) = 4737224700 / 15
LCM(68820,68835) = 315814980

Least Common Multiple (LCM) of 68820 and 68835 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68820 and 68835. First we will calculate the prime factors of 68820 and 68835.

Prime Factorization of 68820

Prime Factorization of 68835

Now multiplying the highest exponent prime factors to calculate the LCM of 68820 and 68835.

LCM(68820,68835) = 2² × 3¹ × 5¹ × 31¹ × 37¹ × 13¹ × 353¹
LCM(68820,68835) = 315814980