What is the Least Common Multiple of 56608 and 56614?

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 56608 and 56614 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56608 and 56614, than apply into the LCM equation.

GCF(56608,56614) = 2
LCM(56608,56614) = ( 56608 × 56614) / 2
LCM(56608,56614) = 3204805312 / 2
LCM(56608,56614) = 1602402656

Least Common Multiple (LCM) of 56608 and 56614 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56608 and 56614. First we will calculate the prime factors of 56608 and 56614.

Prime Factorization of 56608

Prime Factorization of 56614

Now multiplying the highest exponent prime factors to calculate the LCM of 56608 and 56614.

LCM(56608,56614) = 2⁵ × 29¹ × 61¹ × 28307¹
LCM(56608,56614) = 1602402656