What is the Least Common Multiple of 69958 and 69977?

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 69958 and 69977 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69958 and 69977, than apply into the LCM equation.

GCF(69958,69977) = 19
LCM(69958,69977) = ( 69958 × 69977) / 19
LCM(69958,69977) = 4895450966 / 19
LCM(69958,69977) = 257655314

Least Common Multiple (LCM) of 69958 and 69977 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69958 and 69977. First we will calculate the prime factors of 69958 and 69977.

Prime Factorization of 69958

Prime Factorization of 69977

Now multiplying the highest exponent prime factors to calculate the LCM of 69958 and 69977.

LCM(69958,69977) = 2¹ × 7¹ × 19¹ × 263¹ × 29¹ × 127¹
LCM(69958,69977) = 257655314