What is the Least Common Multiple of 77255 and 77261?

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 77255 and 77261 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77255 and 77261, than apply into the LCM equation.

GCF(77255,77261) = 1
LCM(77255,77261) = ( 77255 × 77261) / 1
LCM(77255,77261) = 5968798555 / 1
LCM(77255,77261) = 5968798555

Least Common Multiple (LCM) of 77255 and 77261 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77255 and 77261. First we will calculate the prime factors of 77255 and 77261.

Prime Factorization of 77255

Prime Factorization of 77261

Now multiplying the highest exponent prime factors to calculate the LCM of 77255 and 77261.

LCM(77255,77261) = 5¹ × 15451¹ × 77261¹
LCM(77255,77261) = 5968798555