What is the Least Common Multiple of 74745 and 74763?

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 74745 and 74763 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74745 and 74763, than apply into the LCM equation.

GCF(74745,74763) = 9
LCM(74745,74763) = ( 74745 × 74763) / 9
LCM(74745,74763) = 5588160435 / 9
LCM(74745,74763) = 620906715

Least Common Multiple (LCM) of 74745 and 74763 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74745 and 74763. First we will calculate the prime factors of 74745 and 74763.

Prime Factorization of 74745

Prime Factorization of 74763

Now multiplying the highest exponent prime factors to calculate the LCM of 74745 and 74763.

LCM(74745,74763) = 3⁴ × 5¹ × 11¹ × 151¹ × 13¹ × 71¹
LCM(74745,74763) = 620906715