What is the Least Common Multiple of 78600 and 78610?

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 78600 and 78610 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78600 and 78610, than apply into the LCM equation.

GCF(78600,78610) = 10
LCM(78600,78610) = ( 78600 × 78610) / 10
LCM(78600,78610) = 6178746000 / 10
LCM(78600,78610) = 617874600

Least Common Multiple (LCM) of 78600 and 78610 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78600 and 78610. First we will calculate the prime factors of 78600 and 78610.

Prime Factorization of 78600

Prime Factorization of 78610

Now multiplying the highest exponent prime factors to calculate the LCM of 78600 and 78610.

LCM(78600,78610) = 2³ × 3¹ × 5² × 131¹ × 7¹ × 1123¹
LCM(78600,78610) = 617874600