What is the Least Common Multiple of 77653 and 77665?

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 77653 and 77665 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77653 and 77665, than apply into the LCM equation.

GCF(77653,77665) = 1
LCM(77653,77665) = ( 77653 × 77665) / 1
LCM(77653,77665) = 6030920245 / 1
LCM(77653,77665) = 6030920245

Least Common Multiple (LCM) of 77653 and 77665 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77653 and 77665. First we will calculate the prime factors of 77653 and 77665.

Prime Factorization of 77653

Prime Factorization of 77665

Now multiplying the highest exponent prime factors to calculate the LCM of 77653 and 77665.

LCM(77653,77665) = 19¹ × 61¹ × 67¹ × 5¹ × 7² × 317¹
LCM(77653,77665) = 6030920245