GCF and LCM Calculator Logo

What is the Least Common Multiple of 5073 and 5092?

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 5073 and 5092 is 1359564.

LCM(5073,5092) = 1359564

LCM Calculator and
and

Least Common Multiple of 5073 and 5092 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5073 and 5092, than apply into the LCM equation.

GCF(5073,5092) = 19
LCM(5073,5092) = ( 5073 × 5092) / 19
LCM(5073,5092) = 25831716 / 19
LCM(5073,5092) = 1359564

Least Common Multiple (LCM) of 5073 and 5092 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5073 and 5092. First we will calculate the prime factors of 5073 and 5092.

Prime Factorization of 5073

Prime factors of 5073 are 3, 19, 89. Prime factorization of 5073 in exponential form is:

5073 = 31 × 191 × 891

Prime Factorization of 5092

Prime factors of 5092 are 2, 19, 67. Prime factorization of 5092 in exponential form is:

5092 = 22 × 191 × 671

Now multiplying the highest exponent prime factors to calculate the LCM of 5073 and 5092.

LCM(5073,5092) = 31 × 191 × 891 × 22 × 671
LCM(5073,5092) = 1359564