What is the Least Common Multiple of 70140 and 70149?

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 70140 and 70149 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70140 and 70149, than apply into the LCM equation.

GCF(70140,70149) = 3
LCM(70140,70149) = ( 70140 × 70149) / 3
LCM(70140,70149) = 4920250860 / 3
LCM(70140,70149) = 1640083620

Least Common Multiple (LCM) of 70140 and 70149 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70140 and 70149. First we will calculate the prime factors of 70140 and 70149.

Prime Factorization of 70140

Prime Factorization of 70149

Now multiplying the highest exponent prime factors to calculate the LCM of 70140 and 70149.

LCM(70140,70149) = 2² × 3¹ × 5¹ × 7¹ × 167¹ × 67¹ × 349¹
LCM(70140,70149) = 1640083620