What is the Least Common Multiple of 80678 and 80690?

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 80678 and 80690 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80678 and 80690, than apply into the LCM equation.

GCF(80678,80690) = 2
LCM(80678,80690) = ( 80678 × 80690) / 2
LCM(80678,80690) = 6509907820 / 2
LCM(80678,80690) = 3254953910

Least Common Multiple (LCM) of 80678 and 80690 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80678 and 80690. First we will calculate the prime factors of 80678 and 80690.

Prime Factorization of 80678

Prime Factorization of 80690

Now multiplying the highest exponent prime factors to calculate the LCM of 80678 and 80690.

LCM(80678,80690) = 2¹ × 13¹ × 29¹ × 107¹ × 5¹ × 8069¹
LCM(80678,80690) = 3254953910