GCF and LCM Calculator Logo

What is the Least Common Multiple of 36890 and 36898?

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 36890 and 36898 is 680583610.

LCM(36890,36898) = 680583610

LCM Calculator and
and

Least Common Multiple of 36890 and 36898 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36890 and 36898, than apply into the LCM equation.

GCF(36890,36898) = 2
LCM(36890,36898) = ( 36890 × 36898) / 2
LCM(36890,36898) = 1361167220 / 2
LCM(36890,36898) = 680583610

Least Common Multiple (LCM) of 36890 and 36898 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36890 and 36898. First we will calculate the prime factors of 36890 and 36898.

Prime Factorization of 36890

Prime factors of 36890 are 2, 5, 7, 17, 31. Prime factorization of 36890 in exponential form is:

36890 = 21 × 51 × 71 × 171 × 311

Prime Factorization of 36898

Prime factors of 36898 are 2, 19, 971. Prime factorization of 36898 in exponential form is:

36898 = 21 × 191 × 9711

Now multiplying the highest exponent prime factors to calculate the LCM of 36890 and 36898.

LCM(36890,36898) = 21 × 51 × 71 × 171 × 311 × 191 × 9711
LCM(36890,36898) = 680583610