What is the Least Common Multiple of 78690 and 78709?

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 78690 and 78709 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78690 and 78709, than apply into the LCM equation.

GCF(78690,78709) = 1
LCM(78690,78709) = ( 78690 × 78709) / 1
LCM(78690,78709) = 6193611210 / 1
LCM(78690,78709) = 6193611210

Least Common Multiple (LCM) of 78690 and 78709 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78690 and 78709. First we will calculate the prime factors of 78690 and 78709.

Prime Factorization of 78690

Prime Factorization of 78709

Now multiplying the highest exponent prime factors to calculate the LCM of 78690 and 78709.

LCM(78690,78709) = 2¹ × 3¹ × 5¹ × 43¹ × 61¹ × 31¹ × 2539¹
LCM(78690,78709) = 6193611210