GCF and LCM Calculator Logo

What is the Least Common Multiple of 67124 and 67133?

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 67124 and 67133 is 4506235492.

LCM(67124,67133) = 4506235492

LCM Calculator and
and

Least Common Multiple of 67124 and 67133 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67124 and 67133, than apply into the LCM equation.

GCF(67124,67133) = 1
LCM(67124,67133) = ( 67124 × 67133) / 1
LCM(67124,67133) = 4506235492 / 1
LCM(67124,67133) = 4506235492

Least Common Multiple (LCM) of 67124 and 67133 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67124 and 67133. First we will calculate the prime factors of 67124 and 67133.

Prime Factorization of 67124

Prime factors of 67124 are 2, 97, 173. Prime factorization of 67124 in exponential form is:

67124 = 22 × 971 × 1731

Prime Factorization of 67133

Prime factors of 67133 are 11, 17, 359. Prime factorization of 67133 in exponential form is:

67133 = 111 × 171 × 3591

Now multiplying the highest exponent prime factors to calculate the LCM of 67124 and 67133.

LCM(67124,67133) = 22 × 971 × 1731 × 111 × 171 × 3591
LCM(67124,67133) = 4506235492