What is the Least Common Multiple of 78620 and 78640?

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 78620 and 78640 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78620 and 78640, than apply into the LCM equation.

GCF(78620,78640) = 20
LCM(78620,78640) = ( 78620 × 78640) / 20
LCM(78620,78640) = 6182676800 / 20
LCM(78620,78640) = 309133840

Least Common Multiple (LCM) of 78620 and 78640 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78620 and 78640. First we will calculate the prime factors of 78620 and 78640.

Prime Factorization of 78620

Prime Factorization of 78640

Now multiplying the highest exponent prime factors to calculate the LCM of 78620 and 78640.

LCM(78620,78640) = 2⁴ × 5¹ × 3931¹ × 983¹
LCM(78620,78640) = 309133840