GCF and LCM Calculator Logo

What is the Least Common Multiple of 7802 and 7809?

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 7802 and 7809 is 60925818.

LCM(7802,7809) = 60925818

LCM Calculator and
and

Least Common Multiple of 7802 and 7809 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7802 and 7809, than apply into the LCM equation.

GCF(7802,7809) = 1
LCM(7802,7809) = ( 7802 × 7809) / 1
LCM(7802,7809) = 60925818 / 1
LCM(7802,7809) = 60925818

Least Common Multiple (LCM) of 7802 and 7809 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7802 and 7809. First we will calculate the prime factors of 7802 and 7809.

Prime Factorization of 7802

Prime factors of 7802 are 2, 47, 83. Prime factorization of 7802 in exponential form is:

7802 = 21 × 471 × 831

Prime Factorization of 7809

Prime factors of 7809 are 3, 19, 137. Prime factorization of 7809 in exponential form is:

7809 = 31 × 191 × 1371

Now multiplying the highest exponent prime factors to calculate the LCM of 7802 and 7809.

LCM(7802,7809) = 21 × 471 × 831 × 31 × 191 × 1371
LCM(7802,7809) = 60925818