GCF and LCM Calculator Logo

What is the Least Common Multiple of 60056 and 60076?

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 60056 and 60076 is 901981064.

LCM(60056,60076) = 901981064

LCM Calculator and
and

Least Common Multiple of 60056 and 60076 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60056 and 60076, than apply into the LCM equation.

GCF(60056,60076) = 4
LCM(60056,60076) = ( 60056 × 60076) / 4
LCM(60056,60076) = 3607924256 / 4
LCM(60056,60076) = 901981064

Least Common Multiple (LCM) of 60056 and 60076 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60056 and 60076. First we will calculate the prime factors of 60056 and 60076.

Prime Factorization of 60056

Prime factors of 60056 are 2, 7507. Prime factorization of 60056 in exponential form is:

60056 = 23 × 75071

Prime Factorization of 60076

Prime factors of 60076 are 2, 23, 653. Prime factorization of 60076 in exponential form is:

60076 = 22 × 231 × 6531

Now multiplying the highest exponent prime factors to calculate the LCM of 60056 and 60076.

LCM(60056,60076) = 23 × 75071 × 231 × 6531
LCM(60056,60076) = 901981064