What is the Least Common Multiple of 68090 and 68101?

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 68090 and 68101 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68090 and 68101, than apply into the LCM equation.

GCF(68090,68101) = 11
LCM(68090,68101) = ( 68090 × 68101) / 11
LCM(68090,68101) = 4636997090 / 11
LCM(68090,68101) = 421545190

Least Common Multiple (LCM) of 68090 and 68101 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68090 and 68101. First we will calculate the prime factors of 68090 and 68101.

Prime Factorization of 68090

Prime Factorization of 68101

Now multiplying the highest exponent prime factors to calculate the LCM of 68090 and 68101.

LCM(68090,68101) = 2¹ × 5¹ × 11¹ × 619¹ × 41¹ × 151¹
LCM(68090,68101) = 421545190