GCF and LCM Calculator Logo

What is the Least Common Multiple of 67972 and 67983?

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 67972 and 67983 is 4620940476.

LCM(67972,67983) = 4620940476

LCM Calculator and
and

Least Common Multiple of 67972 and 67983 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67972 and 67983, than apply into the LCM equation.

GCF(67972,67983) = 1
LCM(67972,67983) = ( 67972 × 67983) / 1
LCM(67972,67983) = 4620940476 / 1
LCM(67972,67983) = 4620940476

Least Common Multiple (LCM) of 67972 and 67983 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67972 and 67983. First we will calculate the prime factors of 67972 and 67983.

Prime Factorization of 67972

Prime factors of 67972 are 2, 16993. Prime factorization of 67972 in exponential form is:

67972 = 22 × 169931

Prime Factorization of 67983

Prime factors of 67983 are 3, 17, 31, 43. Prime factorization of 67983 in exponential form is:

67983 = 31 × 171 × 311 × 431

Now multiplying the highest exponent prime factors to calculate the LCM of 67972 and 67983.

LCM(67972,67983) = 22 × 169931 × 31 × 171 × 311 × 431
LCM(67972,67983) = 4620940476