What is the Least Common Multiple of 77665 and 77677?

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 77665 and 77677 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77665 and 77677, than apply into the LCM equation.

GCF(77665,77677) = 1
LCM(77665,77677) = ( 77665 × 77677) / 1
LCM(77665,77677) = 6032784205 / 1
LCM(77665,77677) = 6032784205

Least Common Multiple (LCM) of 77665 and 77677 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77665 and 77677. First we will calculate the prime factors of 77665 and 77677.

Prime Factorization of 77665

Prime Factorization of 77677

Now multiplying the highest exponent prime factors to calculate the LCM of 77665 and 77677.

LCM(77665,77677) = 5¹ × 7² × 317¹ × 173¹ × 449¹
LCM(77665,77677) = 6032784205