What is the Least Common Multiple of 79561 and 79577?

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 79561 and 79577 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79561 and 79577, than apply into the LCM equation.

GCF(79561,79577) = 1
LCM(79561,79577) = ( 79561 × 79577) / 1
LCM(79561,79577) = 6331225697 / 1
LCM(79561,79577) = 6331225697

Least Common Multiple (LCM) of 79561 and 79577 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79561 and 79577. First we will calculate the prime factors of 79561 and 79577.

Prime Factorization of 79561

Prime Factorization of 79577

Now multiplying the highest exponent prime factors to calculate the LCM of 79561 and 79577.

LCM(79561,79577) = 79561¹ × 17¹ × 31¹ × 151¹
LCM(79561,79577) = 6331225697