What is the Least Common Multiple of 74698 and 74711?

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 74698 and 74711 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74698 and 74711, than apply into the LCM equation.

GCF(74698,74711) = 13
LCM(74698,74711) = ( 74698 × 74711) / 13
LCM(74698,74711) = 5580762278 / 13
LCM(74698,74711) = 429289406

Least Common Multiple (LCM) of 74698 and 74711 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74698 and 74711. First we will calculate the prime factors of 74698 and 74711.

Prime Factorization of 74698

Prime Factorization of 74711

Now multiplying the highest exponent prime factors to calculate the LCM of 74698 and 74711.

LCM(74698,74711) = 2¹ × 13³ × 17¹ × 7¹ × 821¹
LCM(74698,74711) = 429289406