What is the Least Common Multiple of 67700 and 67710?

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 67710 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 67710, than apply into the LCM equation.

GCF(67700,67710) = 10
LCM(67700,67710) = ( 67700 × 67710) / 10
LCM(67700,67710) = 4583967000 / 10
LCM(67700,67710) = 458396700

Least Common Multiple (LCM) of 67700 and 67710 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67700 and 67710. First we will calculate the prime factors of 67700 and 67710.

Prime Factorization of 67700

Prime Factorization of 67710

Now multiplying the highest exponent prime factors to calculate the LCM of 67700 and 67710.

LCM(67700,67710) = 2² × 5² × 677¹ × 3¹ × 37¹ × 61¹
LCM(67700,67710) = 458396700