What is the Least Common Multiple of 77785 and 77801?

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 77785 and 77801 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77785 and 77801, than apply into the LCM equation.

GCF(77785,77801) = 1
LCM(77785,77801) = ( 77785 × 77801) / 1
LCM(77785,77801) = 6051750785 / 1
LCM(77785,77801) = 6051750785

Least Common Multiple (LCM) of 77785 and 77801 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77785 and 77801. First we will calculate the prime factors of 77785 and 77801.

Prime Factorization of 77785

Prime Factorization of 77801

Now multiplying the highest exponent prime factors to calculate the LCM of 77785 and 77801.

LCM(77785,77801) = 5¹ × 47¹ × 331¹ × 77801¹
LCM(77785,77801) = 6051750785