What is the Least Common Multiple of 30702 and 30709?

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 30702 and 30709 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30702 and 30709, than apply into the LCM equation.

GCF(30702,30709) = 7
LCM(30702,30709) = ( 30702 × 30709) / 7
LCM(30702,30709) = 942827718 / 7
LCM(30702,30709) = 134689674

Least Common Multiple (LCM) of 30702 and 30709 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30702 and 30709. First we will calculate the prime factors of 30702 and 30709.

Prime Factorization of 30702

Prime Factorization of 30709

Now multiplying the highest exponent prime factors to calculate the LCM of 30702 and 30709.

LCM(30702,30709) = 2¹ × 3¹ × 7¹ × 17¹ × 43¹ × 41¹ × 107¹
LCM(30702,30709) = 134689674