What is the Least Common Multiple of 77766 and 77783?

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 77766 and 77783 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77766 and 77783, than apply into the LCM equation.

GCF(77766,77783) = 1
LCM(77766,77783) = ( 77766 × 77783) / 1
LCM(77766,77783) = 6048872778 / 1
LCM(77766,77783) = 6048872778

Least Common Multiple (LCM) of 77766 and 77783 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77766 and 77783. First we will calculate the prime factors of 77766 and 77783.

Prime Factorization of 77766

Prime Factorization of 77783

Now multiplying the highest exponent prime factors to calculate the LCM of 77766 and 77783.

LCM(77766,77783) = 2¹ × 3¹ × 13¹ × 997¹ × 77783¹
LCM(77766,77783) = 6048872778