What is the Least Common Multiple of 77685 and 77699?

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 77685 and 77699 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77685 and 77699, than apply into the LCM equation.

GCF(77685,77699) = 1
LCM(77685,77699) = ( 77685 × 77699) / 1
LCM(77685,77699) = 6036046815 / 1
LCM(77685,77699) = 6036046815

Least Common Multiple (LCM) of 77685 and 77699 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77685 and 77699. First we will calculate the prime factors of 77685 and 77699.

Prime Factorization of 77685

Prime Factorization of 77699

Now multiplying the highest exponent prime factors to calculate the LCM of 77685 and 77699.

LCM(77685,77699) = 3¹ × 5¹ × 5179¹ × 77699¹
LCM(77685,77699) = 6036046815