What is the Least Common Multiple of 77912 and 77921?

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 77912 and 77921 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77912 and 77921, than apply into the LCM equation.

GCF(77912,77921) = 1
LCM(77912,77921) = ( 77912 × 77921) / 1
LCM(77912,77921) = 6070980952 / 1
LCM(77912,77921) = 6070980952

Least Common Multiple (LCM) of 77912 and 77921 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77912 and 77921. First we will calculate the prime factors of 77912 and 77921.

Prime Factorization of 77912

Prime Factorization of 77921

Now multiplying the highest exponent prime factors to calculate the LCM of 77912 and 77921.

LCM(77912,77921) = 2³ × 9739¹ × 67¹ × 1163¹
LCM(77912,77921) = 6070980952