What is the Least Common Multiple of 77597 and 77606?

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 77597 and 77606 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77597 and 77606, than apply into the LCM equation.

GCF(77597,77606) = 1
LCM(77597,77606) = ( 77597 × 77606) / 1
LCM(77597,77606) = 6021992782 / 1
LCM(77597,77606) = 6021992782

Least Common Multiple (LCM) of 77597 and 77606 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77597 and 77606. First we will calculate the prime factors of 77597 and 77606.

Prime Factorization of 77597

Prime Factorization of 77606

Now multiplying the highest exponent prime factors to calculate the LCM of 77597 and 77606.

LCM(77597,77606) = 13¹ × 47¹ × 127¹ × 2¹ × 38803¹
LCM(77597,77606) = 6021992782