What is the Least Common Multiple of 77540 and 77546?

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 77546 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 77546, than apply into the LCM equation.

GCF(77540,77546) = 2
LCM(77540,77546) = ( 77540 × 77546) / 2
LCM(77540,77546) = 6012916840 / 2
LCM(77540,77546) = 3006458420

Least Common Multiple (LCM) of 77540 and 77546 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77540 and 77546. First we will calculate the prime factors of 77540 and 77546.

Prime Factorization of 77540

Prime Factorization of 77546

Now multiplying the highest exponent prime factors to calculate the LCM of 77540 and 77546.

LCM(77540,77546) = 2² × 5¹ × 3877¹ × 7¹ × 29¹ × 191¹
LCM(77540,77546) = 3006458420