What is the Least Common Multiple of 77317 and 77336?

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 77317 and 77336 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77317 and 77336, than apply into the LCM equation.

GCF(77317,77336) = 1
LCM(77317,77336) = ( 77317 × 77336) / 1
LCM(77317,77336) = 5979387512 / 1
LCM(77317,77336) = 5979387512

Least Common Multiple (LCM) of 77317 and 77336 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77317 and 77336. First we will calculate the prime factors of 77317 and 77336.

Prime Factorization of 77317

Prime Factorization of 77336

Now multiplying the highest exponent prime factors to calculate the LCM of 77317 and 77336.

LCM(77317,77336) = 77317¹ × 2³ × 7¹ × 1381¹
LCM(77317,77336) = 5979387512