What is the Least Common Multiple of 77536 and 77554?

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 77536 and 77554 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77536 and 77554, than apply into the LCM equation.

GCF(77536,77554) = 2
LCM(77536,77554) = ( 77536 × 77554) / 2
LCM(77536,77554) = 6013226944 / 2
LCM(77536,77554) = 3006613472

Least Common Multiple (LCM) of 77536 and 77554 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77536 and 77554. First we will calculate the prime factors of 77536 and 77554.

Prime Factorization of 77536

Prime Factorization of 77554

Now multiplying the highest exponent prime factors to calculate the LCM of 77536 and 77554.

LCM(77536,77554) = 2⁵ × 2423¹ × 17¹ × 2281¹
LCM(77536,77554) = 3006613472