What is the Least Common Multiple of 77755 and 77767?

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 77755 and 77767 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77755 and 77767, than apply into the LCM equation.

GCF(77755,77767) = 1
LCM(77755,77767) = ( 77755 × 77767) / 1
LCM(77755,77767) = 6046773085 / 1
LCM(77755,77767) = 6046773085

Least Common Multiple (LCM) of 77755 and 77767 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77755 and 77767. First we will calculate the prime factors of 77755 and 77767.

Prime Factorization of 77755

Prime Factorization of 77767

Now multiplying the highest exponent prime factors to calculate the LCM of 77755 and 77767.

LCM(77755,77767) = 5¹ × 15551¹ × 19¹ × 4093¹
LCM(77755,77767) = 6046773085