GCF and LCM Calculator Logo

What is the Least Common Multiple of 49183 and 49197?

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 49183 and 49197 is 2419656051.

LCM(49183,49197) = 2419656051

LCM Calculator and
and

Least Common Multiple of 49183 and 49197 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49183 and 49197, than apply into the LCM equation.

GCF(49183,49197) = 1
LCM(49183,49197) = ( 49183 × 49197) / 1
LCM(49183,49197) = 2419656051 / 1
LCM(49183,49197) = 2419656051

Least Common Multiple (LCM) of 49183 and 49197 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49183 and 49197. First we will calculate the prime factors of 49183 and 49197.

Prime Factorization of 49183

Prime factors of 49183 are 137, 359. Prime factorization of 49183 in exponential form is:

49183 = 1371 × 3591

Prime Factorization of 49197

Prime factors of 49197 are 3, 23, 31. Prime factorization of 49197 in exponential form is:

49197 = 31 × 232 × 311

Now multiplying the highest exponent prime factors to calculate the LCM of 49183 and 49197.

LCM(49183,49197) = 1371 × 3591 × 31 × 232 × 311
LCM(49183,49197) = 2419656051