What is the Least Common Multiple of 77679 and 77695?

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 77679 and 77695 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77679 and 77695, than apply into the LCM equation.

GCF(77679,77695) = 1
LCM(77679,77695) = ( 77679 × 77695) / 1
LCM(77679,77695) = 6035269905 / 1
LCM(77679,77695) = 6035269905

Least Common Multiple (LCM) of 77679 and 77695 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77679 and 77695. First we will calculate the prime factors of 77679 and 77695.

Prime Factorization of 77679

Prime Factorization of 77695

Now multiplying the highest exponent prime factors to calculate the LCM of 77679 and 77695.

LCM(77679,77695) = 3⁴ × 7¹ × 137¹ × 5¹ × 41¹ × 379¹
LCM(77679,77695) = 6035269905