What is the Least Common Multiple of 77672 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 77672 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 77672 and 77678, than apply into the LCM equation.

GCF(77672,77678) = 2
LCM(77672,77678) = ( 77672 × 77678) / 2
LCM(77672,77678) = 6033405616 / 2
LCM(77672,77678) = 3016702808

Least Common Multiple (LCM) of 77672 and 77678 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77672 and 77678. First we will calculate the prime factors of 77672 and 77678.

Prime Factorization of 77672

Prime Factorization of 77678

Now multiplying the highest exponent prime factors to calculate the LCM of 77672 and 77678.

LCM(77672,77678) = 2³ × 7¹ × 19¹ × 73¹ × 38839¹
LCM(77672,77678) = 3016702808