GCF and LCM Calculator Logo

What is the Least Common Multiple of 55060 and 55064?

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 (LCM) of 55060 and 55064 is 757955960.

LCM(55060,55064) = 757955960

LCM Calculator and
and

Least Common Multiple of 55060 and 55064 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55060 and 55064, than apply into the LCM equation.

GCF(55060,55064) = 4
LCM(55060,55064) = ( 55060 × 55064) / 4
LCM(55060,55064) = 3031823840 / 4
LCM(55060,55064) = 757955960

Least Common Multiple (LCM) of 55060 and 55064 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55060 and 55064. First we will calculate the prime factors of 55060 and 55064.

Prime Factorization of 55060

Prime factors of 55060 are 2, 5, 2753. Prime factorization of 55060 in exponential form is:

55060 = 22 × 51 × 27531

Prime Factorization of 55064

Prime factors of 55064 are 2, 6883. Prime factorization of 55064 in exponential form is:

55064 = 23 × 68831

Now multiplying the highest exponent prime factors to calculate the LCM of 55060 and 55064.

LCM(55060,55064) = 23 × 51 × 27531 × 68831
LCM(55060,55064) = 757955960