What is the Least Common Multiple of 56678 and 56685?

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 56678 and 56685 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56678 and 56685, than apply into the LCM equation.

GCF(56678,56685) = 1
LCM(56678,56685) = ( 56678 × 56685) / 1
LCM(56678,56685) = 3212792430 / 1
LCM(56678,56685) = 3212792430

Least Common Multiple (LCM) of 56678 and 56685 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56678 and 56685. First we will calculate the prime factors of 56678 and 56685.

Prime Factorization of 56678

Prime Factorization of 56685

Now multiplying the highest exponent prime factors to calculate the LCM of 56678 and 56685.

LCM(56678,56685) = 2¹ × 17¹ × 1667¹ × 3¹ × 5¹ × 3779¹
LCM(56678,56685) = 3212792430