What is the Least Common Multiple of 56049 and 56064?

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 56049 and 56064 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56049 and 56064, than apply into the LCM equation.

GCF(56049,56064) = 3
LCM(56049,56064) = ( 56049 × 56064) / 3
LCM(56049,56064) = 3142331136 / 3
LCM(56049,56064) = 1047443712

Least Common Multiple (LCM) of 56049 and 56064 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56049 and 56064. First we will calculate the prime factors of 56049 and 56064.

Prime Factorization of 56049

Prime Factorization of 56064

Now multiplying the highest exponent prime factors to calculate the LCM of 56049 and 56064.

LCM(56049,56064) = 3¹ × 7¹ × 17¹ × 157¹ × 2⁸ × 73¹
LCM(56049,56064) = 1047443712