What is the Least Common Multiple of 77666 and 77678?

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 77666 and 77678 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77666 and 77678, than apply into the LCM equation.

GCF(77666,77678) = 2
LCM(77666,77678) = ( 77666 × 77678) / 2
LCM(77666,77678) = 6032939548 / 2
LCM(77666,77678) = 3016469774

Least Common Multiple (LCM) of 77666 and 77678 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77666 and 77678. First we will calculate the prime factors of 77666 and 77678.

Prime Factorization of 77666

Prime Factorization of 77678

Now multiplying the highest exponent prime factors to calculate the LCM of 77666 and 77678.

LCM(77666,77678) = 2¹ × 38833¹ × 38839¹
LCM(77666,77678) = 3016469774