What is the Least Common Multiple of 69741 and 69749?

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 69741 and 69749 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69741 and 69749, than apply into the LCM equation.

GCF(69741,69749) = 1
LCM(69741,69749) = ( 69741 × 69749) / 1
LCM(69741,69749) = 4864365009 / 1
LCM(69741,69749) = 4864365009

Least Common Multiple (LCM) of 69741 and 69749 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69741 and 69749. First we will calculate the prime factors of 69741 and 69749.

Prime Factorization of 69741

Prime Factorization of 69749

Now multiplying the highest exponent prime factors to calculate the LCM of 69741 and 69749.

LCM(69741,69749) = 3⁵ × 7¹ × 41¹ × 19¹ × 3671¹
LCM(69741,69749) = 4864365009