What is the Least Common Multiple of 68840 and 68854?

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 68840 and 68854 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68840 and 68854, than apply into the LCM equation.

GCF(68840,68854) = 2
LCM(68840,68854) = ( 68840 × 68854) / 2
LCM(68840,68854) = 4739909360 / 2
LCM(68840,68854) = 2369954680

Least Common Multiple (LCM) of 68840 and 68854 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68840 and 68854. First we will calculate the prime factors of 68840 and 68854.

Prime Factorization of 68840

Prime Factorization of 68854

Now multiplying the highest exponent prime factors to calculate the LCM of 68840 and 68854.

LCM(68840,68854) = 2³ × 5¹ × 1721¹ × 173¹ × 199¹
LCM(68840,68854) = 2369954680