What is the Least Common Multiple of 54608 and 54614?

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 54608 and 54614 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54608 and 54614, than apply into the LCM equation.

GCF(54608,54614) = 2
LCM(54608,54614) = ( 54608 × 54614) / 2
LCM(54608,54614) = 2982361312 / 2
LCM(54608,54614) = 1491180656

Least Common Multiple (LCM) of 54608 and 54614 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54608 and 54614. First we will calculate the prime factors of 54608 and 54614.

Prime Factorization of 54608

Prime Factorization of 54614

Now multiplying the highest exponent prime factors to calculate the LCM of 54608 and 54614.

LCM(54608,54614) = 2⁴ × 3413¹ × 7¹ × 47¹ × 83¹
LCM(54608,54614) = 1491180656