What is the Least Common Multiple of 55608 and 55619?

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 55608 and 55619 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55608 and 55619, than apply into the LCM equation.

GCF(55608,55619) = 1
LCM(55608,55619) = ( 55608 × 55619) / 1
LCM(55608,55619) = 3092861352 / 1
LCM(55608,55619) = 3092861352

Least Common Multiple (LCM) of 55608 and 55619 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55608 and 55619. First we will calculate the prime factors of 55608 and 55619.

Prime Factorization of 55608

Prime Factorization of 55619

Now multiplying the highest exponent prime factors to calculate the LCM of 55608 and 55619.

LCM(55608,55619) = 2³ × 3¹ × 7¹ × 331¹ × 55619¹
LCM(55608,55619) = 3092861352