What is the Least Common Multiple of 90678 and 90693?

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 90693 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 90693, than apply into the LCM equation.

GCF(90678,90693) = 3
LCM(90678,90693) = ( 90678 × 90693) / 3
LCM(90678,90693) = 8223859854 / 3
LCM(90678,90693) = 2741286618

Least Common Multiple (LCM) of 90678 and 90693 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90678 and 90693. First we will calculate the prime factors of 90678 and 90693.

Prime Factorization of 90678

Prime Factorization of 90693

Now multiplying the highest exponent prime factors to calculate the LCM of 90678 and 90693.

LCM(90678,90693) = 2¹ × 3³ × 7¹ × 17¹ × 127¹ × 3359¹
LCM(90678,90693) = 2741286618