What is the Least Common Multiple of 67290 and 67300?

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 67290 and 67300 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67290 and 67300, than apply into the LCM equation.

GCF(67290,67300) = 10
LCM(67290,67300) = ( 67290 × 67300) / 10
LCM(67290,67300) = 4528617000 / 10
LCM(67290,67300) = 452861700

Least Common Multiple (LCM) of 67290 and 67300 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67290 and 67300. First we will calculate the prime factors of 67290 and 67300.

Prime Factorization of 67290

Prime Factorization of 67300

Now multiplying the highest exponent prime factors to calculate the LCM of 67290 and 67300.

LCM(67290,67300) = 2² × 3¹ × 5² × 2243¹ × 673¹
LCM(67290,67300) = 452861700