What is the Least Common Multiple of 74258 and 74277?

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 74258 and 74277 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74258 and 74277, than apply into the LCM equation.

GCF(74258,74277) = 1
LCM(74258,74277) = ( 74258 × 74277) / 1
LCM(74258,74277) = 5515661466 / 1
LCM(74258,74277) = 5515661466

Least Common Multiple (LCM) of 74258 and 74277 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74258 and 74277. First we will calculate the prime factors of 74258 and 74277.

Prime Factorization of 74258

Prime Factorization of 74277

Now multiplying the highest exponent prime factors to calculate the LCM of 74258 and 74277.

LCM(74258,74277) = 2¹ × 107¹ × 347¹ × 3⁴ × 7¹ × 131¹
LCM(74258,74277) = 5515661466