GCF and LCM Calculator Logo

What is the Least Common Multiple of 67971 and 67980?

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 67971 and 67980 is 1540222860.

LCM(67971,67980) = 1540222860

LCM Calculator and
and

Least Common Multiple of 67971 and 67980 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67971 and 67980, than apply into the LCM equation.

GCF(67971,67980) = 3
LCM(67971,67980) = ( 67971 × 67980) / 3
LCM(67971,67980) = 4620668580 / 3
LCM(67971,67980) = 1540222860

Least Common Multiple (LCM) of 67971 and 67980 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67971 and 67980. First we will calculate the prime factors of 67971 and 67980.

Prime Factorization of 67971

Prime factors of 67971 are 3, 139, 163. Prime factorization of 67971 in exponential form is:

67971 = 31 × 1391 × 1631

Prime Factorization of 67980

Prime factors of 67980 are 2, 3, 5, 11, 103. Prime factorization of 67980 in exponential form is:

67980 = 22 × 31 × 51 × 111 × 1031

Now multiplying the highest exponent prime factors to calculate the LCM of 67971 and 67980.

LCM(67971,67980) = 31 × 1391 × 1631 × 22 × 51 × 111 × 1031
LCM(67971,67980) = 1540222860