What is the Least Common Multiple of 68790 and 68800?

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 68790 and 68800 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68790 and 68800, than apply into the LCM equation.

GCF(68790,68800) = 10
LCM(68790,68800) = ( 68790 × 68800) / 10
LCM(68790,68800) = 4732752000 / 10
LCM(68790,68800) = 473275200

Least Common Multiple (LCM) of 68790 and 68800 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68790 and 68800. First we will calculate the prime factors of 68790 and 68800.

Prime Factorization of 68790

Prime Factorization of 68800

Now multiplying the highest exponent prime factors to calculate the LCM of 68790 and 68800.

LCM(68790,68800) = 2⁶ × 3¹ × 5² × 2293¹ × 43¹
LCM(68790,68800) = 473275200