What is the Least Common Multiple of 67695 and 67700?

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 67695 and 67700 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67695 and 67700, than apply into the LCM equation.

GCF(67695,67700) = 5
LCM(67695,67700) = ( 67695 × 67700) / 5
LCM(67695,67700) = 4582951500 / 5
LCM(67695,67700) = 916590300

Least Common Multiple (LCM) of 67695 and 67700 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67695 and 67700. First we will calculate the prime factors of 67695 and 67700.

Prime Factorization of 67695

Prime Factorization of 67700

Now multiplying the highest exponent prime factors to calculate the LCM of 67695 and 67700.

LCM(67695,67700) = 3¹ × 5² × 4513¹ × 2² × 677¹
LCM(67695,67700) = 916590300