What is the Least Common Multiple of 55659 and 55679?

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 55659 and 55679 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55659 and 55679, than apply into the LCM equation.

GCF(55659,55679) = 1
LCM(55659,55679) = ( 55659 × 55679) / 1
LCM(55659,55679) = 3099037461 / 1
LCM(55659,55679) = 3099037461

Least Common Multiple (LCM) of 55659 and 55679 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55659 and 55679. First we will calculate the prime factors of 55659 and 55679.

Prime Factorization of 55659

Prime Factorization of 55679

Now multiplying the highest exponent prime factors to calculate the LCM of 55659 and 55679.

LCM(55659,55679) = 3¹ × 18553¹ × 13¹ × 4283¹
LCM(55659,55679) = 3099037461