What is the Least Common Multiple of 77518 and 77536?

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 77518 and 77536 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77518 and 77536, than apply into the LCM equation.

GCF(77518,77536) = 2
LCM(77518,77536) = ( 77518 × 77536) / 2
LCM(77518,77536) = 6010435648 / 2
LCM(77518,77536) = 3005217824

Least Common Multiple (LCM) of 77518 and 77536 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77518 and 77536. First we will calculate the prime factors of 77518 and 77536.

Prime Factorization of 77518

Prime Factorization of 77536

Now multiplying the highest exponent prime factors to calculate the LCM of 77518 and 77536.

LCM(77518,77536) = 2⁵ × 7³ × 113¹ × 2423¹
LCM(77518,77536) = 3005217824