GCF and LCM Calculator Logo

What is the Least Common Multiple of 74247 and 74262?

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 74247 and 74262 is 1837910238.

LCM(74247,74262) = 1837910238

LCM Calculator and
and

Least Common Multiple of 74247 and 74262 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74247 and 74262, than apply into the LCM equation.

GCF(74247,74262) = 3
LCM(74247,74262) = ( 74247 × 74262) / 3
LCM(74247,74262) = 5513730714 / 3
LCM(74247,74262) = 1837910238

Least Common Multiple (LCM) of 74247 and 74262 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74247 and 74262. First we will calculate the prime factors of 74247 and 74262.

Prime Factorization of 74247

Prime factors of 74247 are 3, 24749. Prime factorization of 74247 in exponential form is:

74247 = 31 × 247491

Prime Factorization of 74262

Prime factors of 74262 are 2, 3, 12377. Prime factorization of 74262 in exponential form is:

74262 = 21 × 31 × 123771

Now multiplying the highest exponent prime factors to calculate the LCM of 74247 and 74262.

LCM(74247,74262) = 31 × 247491 × 21 × 123771
LCM(74247,74262) = 1837910238