What is the Least Common Multiple of 30678 and 30687?

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 30678 and 30687 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30678 and 30687, than apply into the LCM equation.

GCF(30678,30687) = 3
LCM(30678,30687) = ( 30678 × 30687) / 3
LCM(30678,30687) = 941415786 / 3
LCM(30678,30687) = 313805262

Least Common Multiple (LCM) of 30678 and 30687 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30678 and 30687. First we will calculate the prime factors of 30678 and 30687.

Prime Factorization of 30678

Prime Factorization of 30687

Now multiplying the highest exponent prime factors to calculate the LCM of 30678 and 30687.

LCM(30678,30687) = 2¹ × 3¹ × 5113¹ × 53¹ × 193¹
LCM(30678,30687) = 313805262