What is the Least Common Multiple of 77540 and 77555?

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 77540 and 77555 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77540 and 77555, than apply into the LCM equation.

GCF(77540,77555) = 5
LCM(77540,77555) = ( 77540 × 77555) / 5
LCM(77540,77555) = 6013614700 / 5
LCM(77540,77555) = 1202722940

Least Common Multiple (LCM) of 77540 and 77555 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77540 and 77555. First we will calculate the prime factors of 77540 and 77555.

Prime Factorization of 77540

Prime Factorization of 77555

Now multiplying the highest exponent prime factors to calculate the LCM of 77540 and 77555.

LCM(77540,77555) = 2² × 5¹ × 3877¹ × 15511¹
LCM(77540,77555) = 1202722940