What is the Least Common Multiple of 56064 and 56074?

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 56064 and 56074 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56064 and 56074, than apply into the LCM equation.

GCF(56064,56074) = 2
LCM(56064,56074) = ( 56064 × 56074) / 2
LCM(56064,56074) = 3143732736 / 2
LCM(56064,56074) = 1571866368

Least Common Multiple (LCM) of 56064 and 56074 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56064 and 56074. First we will calculate the prime factors of 56064 and 56074.

Prime Factorization of 56064

Prime Factorization of 56074

Now multiplying the highest exponent prime factors to calculate the LCM of 56064 and 56074.

LCM(56064,56074) = 2⁸ × 3¹ × 73¹ × 23² × 53¹
LCM(56064,56074) = 1571866368