What is the Least Common Multiple of 90678 and 90686?

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 90678 and 90686 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90678 and 90686, than apply into the LCM equation.

GCF(90678,90686) = 2
LCM(90678,90686) = ( 90678 × 90686) / 2
LCM(90678,90686) = 8223225108 / 2
LCM(90678,90686) = 4111612554

Least Common Multiple (LCM) of 90678 and 90686 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90678 and 90686. First we will calculate the prime factors of 90678 and 90686.

Prime Factorization of 90678

Prime Factorization of 90686

Now multiplying the highest exponent prime factors to calculate the LCM of 90678 and 90686.

LCM(90678,90686) = 2¹ × 3¹ × 7¹ × 17¹ × 127¹ × 45343¹
LCM(90678,90686) = 4111612554