What is the Least Common Multiple of 74902 and 74917?

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 74902 and 74917 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74902 and 74917, than apply into the LCM equation.

GCF(74902,74917) = 1
LCM(74902,74917) = ( 74902 × 74917) / 1
LCM(74902,74917) = 5611433134 / 1
LCM(74902,74917) = 5611433134

Least Common Multiple (LCM) of 74902 and 74917 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74902 and 74917. First we will calculate the prime factors of 74902 and 74917.

Prime Factorization of 74902

Prime Factorization of 74917

Now multiplying the highest exponent prime factors to calculate the LCM of 74902 and 74917.

LCM(74902,74917) = 2¹ × 17¹ × 2203¹ × 19¹ × 3943¹
LCM(74902,74917) = 5611433134