What is the Least Common Multiple of 56064 and 56068?

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 56068 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 56068, than apply into the LCM equation.

GCF(56064,56068) = 4
LCM(56064,56068) = ( 56064 × 56068) / 4
LCM(56064,56068) = 3143396352 / 4
LCM(56064,56068) = 785849088

Least Common Multiple (LCM) of 56064 and 56068 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56064 and 56068. First we will calculate the prime factors of 56064 and 56068.

Prime Factorization of 56064

Prime Factorization of 56068

Now multiplying the highest exponent prime factors to calculate the LCM of 56064 and 56068.

LCM(56064,56068) = 2⁸ × 3¹ × 73¹ × 107¹ × 131¹
LCM(56064,56068) = 785849088