What is the Least Common Multiple of 77197 and 77216?

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 77197 and 77216 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77197 and 77216, than apply into the LCM equation.

GCF(77197,77216) = 19
LCM(77197,77216) = ( 77197 × 77216) / 19
LCM(77197,77216) = 5960843552 / 19
LCM(77197,77216) = 313728608

Least Common Multiple (LCM) of 77197 and 77216 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77197 and 77216. First we will calculate the prime factors of 77197 and 77216.

Prime Factorization of 77197

Prime Factorization of 77216

Now multiplying the highest exponent prime factors to calculate the LCM of 77197 and 77216.

LCM(77197,77216) = 17¹ × 19¹ × 239¹ × 2⁵ × 127¹
LCM(77197,77216) = 313728608