What is the Least Common Multiple of 67700 and 67705?

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 67700 and 67705 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67700 and 67705, than apply into the LCM equation.

GCF(67700,67705) = 5
LCM(67700,67705) = ( 67700 × 67705) / 5
LCM(67700,67705) = 4583628500 / 5
LCM(67700,67705) = 916725700

Least Common Multiple (LCM) of 67700 and 67705 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67700 and 67705. First we will calculate the prime factors of 67700 and 67705.

Prime Factorization of 67700

Prime Factorization of 67705

Now multiplying the highest exponent prime factors to calculate the LCM of 67700 and 67705.

LCM(67700,67705) = 2² × 5² × 677¹ × 11¹ × 1231¹
LCM(67700,67705) = 916725700