What is the Least Common Multiple of 77932 and 77945?

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 77932 and 77945 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77932 and 77945, than apply into the LCM equation.

GCF(77932,77945) = 1
LCM(77932,77945) = ( 77932 × 77945) / 1
LCM(77932,77945) = 6074409740 / 1
LCM(77932,77945) = 6074409740

Least Common Multiple (LCM) of 77932 and 77945 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77932 and 77945. First we will calculate the prime factors of 77932 and 77945.

Prime Factorization of 77932

Prime Factorization of 77945

Now multiplying the highest exponent prime factors to calculate the LCM of 77932 and 77945.

LCM(77932,77945) = 2² × 19483¹ × 5¹ × 7¹ × 17¹ × 131¹
LCM(77932,77945) = 6074409740