What is the Least Common Multiple of 49058 and 49077?

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 of 49058 and 49077 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49058 and 49077, than apply into the LCM equation.

GCF(49058,49077) = 19
LCM(49058,49077) = ( 49058 × 49077) / 19
LCM(49058,49077) = 2407619466 / 19
LCM(49058,49077) = 126716814

Least Common Multiple (LCM) of 49058 and 49077 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49058 and 49077. First we will calculate the prime factors of 49058 and 49077.

Prime Factorization of 49058

Prime Factorization of 49077

Now multiplying the highest exponent prime factors to calculate the LCM of 49058 and 49077.

LCM(49058,49077) = 2¹ × 19¹ × 1291¹ × 3² × 7¹ × 41¹
LCM(49058,49077) = 126716814