What is the Least Common Multiple of 70748 and 70759?

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 70748 and 70759 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70748 and 70759, than apply into the LCM equation.

GCF(70748,70759) = 1
LCM(70748,70759) = ( 70748 × 70759) / 1
LCM(70748,70759) = 5006057732 / 1
LCM(70748,70759) = 5006057732

Least Common Multiple (LCM) of 70748 and 70759 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70748 and 70759. First we will calculate the prime factors of 70748 and 70759.

Prime Factorization of 70748

Prime Factorization of 70759

Now multiplying the highest exponent prime factors to calculate the LCM of 70748 and 70759.

LCM(70748,70759) = 2² × 23¹ × 769¹ × 13¹ × 5443¹
LCM(70748,70759) = 5006057732