What is the Least Common Multiple of 77726 and 77741?

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 77726 and 77741 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77726 and 77741, than apply into the LCM equation.

GCF(77726,77741) = 1
LCM(77726,77741) = ( 77726 × 77741) / 1
LCM(77726,77741) = 6042496966 / 1
LCM(77726,77741) = 6042496966

Least Common Multiple (LCM) of 77726 and 77741 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77726 and 77741. First we will calculate the prime factors of 77726 and 77741.

Prime Factorization of 77726

Prime Factorization of 77741

Now multiplying the highest exponent prime factors to calculate the LCM of 77726 and 77741.

LCM(77726,77741) = 2¹ × 11¹ × 3533¹ × 17² × 269¹
LCM(77726,77741) = 6042496966