What is the Least Common Multiple of 74258 and 74263?

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 74263 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 74263, than apply into the LCM equation.

GCF(74258,74263) = 1
LCM(74258,74263) = ( 74258 × 74263) / 1
LCM(74258,74263) = 5514621854 / 1
LCM(74258,74263) = 5514621854

Least Common Multiple (LCM) of 74258 and 74263 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74258 and 74263. First we will calculate the prime factors of 74258 and 74263.

Prime Factorization of 74258

Prime Factorization of 74263

Now multiplying the highest exponent prime factors to calculate the LCM of 74258 and 74263.

LCM(74258,74263) = 2¹ × 107¹ × 347¹ × 7¹ × 103²
LCM(74258,74263) = 5514621854