What is the Least Common Multiple of 77770 and 77784?

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 77770 and 77784 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77770 and 77784, than apply into the LCM equation.

GCF(77770,77784) = 14
LCM(77770,77784) = ( 77770 × 77784) / 14
LCM(77770,77784) = 6049261680 / 14
LCM(77770,77784) = 432090120

Least Common Multiple (LCM) of 77770 and 77784 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77770 and 77784. First we will calculate the prime factors of 77770 and 77784.

Prime Factorization of 77770

Prime Factorization of 77784

Now multiplying the highest exponent prime factors to calculate the LCM of 77770 and 77784.

LCM(77770,77784) = 2³ × 5¹ × 7¹ × 11¹ × 101¹ × 3¹ × 463¹
LCM(77770,77784) = 432090120