What is the Least Common Multiple of 90678 and 90684?

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 90684 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 90684, than apply into the LCM equation.

GCF(90678,90684) = 6
LCM(90678,90684) = ( 90678 × 90684) / 6
LCM(90678,90684) = 8223043752 / 6
LCM(90678,90684) = 1370507292

Least Common Multiple (LCM) of 90678 and 90684 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90678 and 90684. First we will calculate the prime factors of 90678 and 90684.

Prime Factorization of 90678

Prime Factorization of 90684

Now multiplying the highest exponent prime factors to calculate the LCM of 90678 and 90684.

LCM(90678,90684) = 2² × 3² × 7¹ × 17¹ × 127¹ × 11¹ × 229¹
LCM(90678,90684) = 1370507292