What is the Least Common Multiple of 78760 and 78778?

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 78760 and 78778 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78760 and 78778, than apply into the LCM equation.

GCF(78760,78778) = 2
LCM(78760,78778) = ( 78760 × 78778) / 2
LCM(78760,78778) = 6204555280 / 2
LCM(78760,78778) = 3102277640

Least Common Multiple (LCM) of 78760 and 78778 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78760 and 78778. First we will calculate the prime factors of 78760 and 78778.

Prime Factorization of 78760

Prime Factorization of 78778

Now multiplying the highest exponent prime factors to calculate the LCM of 78760 and 78778.

LCM(78760,78778) = 2³ × 5¹ × 11¹ × 179¹ × 7¹ × 17¹ × 331¹
LCM(78760,78778) = 3102277640