What is the Least Common Multiple of 78840 and 78854?

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 78840 and 78854 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78840 and 78854, than apply into the LCM equation.

GCF(78840,78854) = 2
LCM(78840,78854) = ( 78840 × 78854) / 2
LCM(78840,78854) = 6216849360 / 2
LCM(78840,78854) = 3108424680

Least Common Multiple (LCM) of 78840 and 78854 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78840 and 78854. First we will calculate the prime factors of 78840 and 78854.

Prime Factorization of 78840

Prime Factorization of 78854

Now multiplying the highest exponent prime factors to calculate the LCM of 78840 and 78854.

LCM(78840,78854) = 2³ × 3³ × 5¹ × 73¹ × 89¹ × 443¹
LCM(78840,78854) = 3108424680