What is the Least Common Multiple of 30561 and 30577?

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 30561 and 30577 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30561 and 30577, than apply into the LCM equation.

GCF(30561,30577) = 1
LCM(30561,30577) = ( 30561 × 30577) / 1
LCM(30561,30577) = 934463697 / 1
LCM(30561,30577) = 934463697

Least Common Multiple (LCM) of 30561 and 30577 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30561 and 30577. First we will calculate the prime factors of 30561 and 30577.

Prime Factorization of 30561

Prime Factorization of 30577

Now multiplying the highest exponent prime factors to calculate the LCM of 30561 and 30577.

LCM(30561,30577) = 3¹ × 61¹ × 167¹ × 30577¹
LCM(30561,30577) = 934463697