What is the Least Common Multiple of 78540 and 78544?

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 78540 and 78544 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78540 and 78544, than apply into the LCM equation.

GCF(78540,78544) = 4
LCM(78540,78544) = ( 78540 × 78544) / 4
LCM(78540,78544) = 6168845760 / 4
LCM(78540,78544) = 1542211440

Least Common Multiple (LCM) of 78540 and 78544 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78540 and 78544. First we will calculate the prime factors of 78540 and 78544.

Prime Factorization of 78540

Prime Factorization of 78544

Now multiplying the highest exponent prime factors to calculate the LCM of 78540 and 78544.

LCM(78540,78544) = 2⁴ × 3¹ × 5¹ × 7¹ × 11¹ × 17¹ × 4909¹
LCM(78540,78544) = 1542211440