GCF and LCM Calculator Logo

What is the Least Common Multiple of 55412 and 55420?

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 55412 and 55420 is 767733260.

LCM(55412,55420) = 767733260

LCM Calculator and
and

Least Common Multiple of 55412 and 55420 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55412 and 55420, than apply into the LCM equation.

GCF(55412,55420) = 4
LCM(55412,55420) = ( 55412 × 55420) / 4
LCM(55412,55420) = 3070933040 / 4
LCM(55412,55420) = 767733260

Least Common Multiple (LCM) of 55412 and 55420 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55412 and 55420. First we will calculate the prime factors of 55412 and 55420.

Prime Factorization of 55412

Prime factors of 55412 are 2, 7, 1979. Prime factorization of 55412 in exponential form is:

55412 = 22 × 71 × 19791

Prime Factorization of 55420

Prime factors of 55420 are 2, 5, 17, 163. Prime factorization of 55420 in exponential form is:

55420 = 22 × 51 × 171 × 1631

Now multiplying the highest exponent prime factors to calculate the LCM of 55412 and 55420.

LCM(55412,55420) = 22 × 71 × 19791 × 51 × 171 × 1631
LCM(55412,55420) = 767733260